diff --git a/crates/engine/src/cmd/text_anim.rs b/crates/engine/src/cmd/text_anim.rs
index 92ab23f17..296dc4c37 100644
--- a/crates/engine/src/cmd/text_anim.rs
+++ b/crates/engine/src/cmd/text_anim.rs
@@ -142,6 +142,7 @@ fn add_animator_prop(s: &mut Session, p: &Value) -> Result<Value> {
     }
     let layer = s.project.comp(cid).and_then(|c| c.layer(lid)).cloned().ok_or_else(|| bad(C, "no layer"))?;
     let auid = animator_uid(s, &layer, p, C)?;
+    let mut index = 0;
     s.edit("Add Text Animator Property", None, |proj, _| {
         let mut next = proj.next_id;
         let mut ids = Ids(&mut next);
@@ -151,10 +152,13 @@ fn add_animator_prop(s: &mut Session, p: &Value) -> Result<Value> {
         for k in &kinds {
             add_props(&mut ids, anim, k, three);
         }
+        // The requested property's 1-based position in the Properties group. A companion (such as
+        // Tracking Type) is added before it, so the first new child is not always the one asked for.
+        index = kinds.first().and_then(|k| anim.sub("properties")?.children.iter().position(|n| n.match_id() == k.as_str())).map_or(0, |i| i + 1);
         proj.next_id = next;
         Ok(())
     })?;
-    Ok(json!({"animator": auid}))
+    Ok(json!({"animator": auid, "index": index}))
 }
 
 pub(crate) fn add_selector(s: &mut Session, p: &Value) -> Result<Value> {
diff --git a/crates/script/src/matchnames.rs b/crates/script/src/matchnames.rs
index b64aaab37..3dd717aa8 100644
--- a/crates/script/src/matchnames.rs
+++ b/crates/script/src/matchnames.rs
@@ -90,6 +90,44 @@ pub fn stroke_dash(name: &str) -> Option<&'static str> {
 
 const TEXT_ANIMATOR: &[(&str, &str)] = &[("selectors", "ADBE Text Selectors"), ("properties", "ADBE Text Animator Properties")];
 
+/// Animator property ids and their stable After Effects scripting names. Shared by lookup,
+/// `.matchName`, and `addProperty` so the same property has one name in every direction.
+pub const TEXT_ANIMATOR_PROPERTIES: &[(&str, &str)] = &[
+    ("anchor", "ADBE Text Anchor Point 3D"),
+    ("position", "ADBE Text Position 3D"),
+    ("scale", "ADBE Text Scale 3D"),
+    ("skew", "ADBE Text Skew"),
+    ("rotation", "ADBE Text Rotation"),
+    ("opacity", "ADBE Text Opacity"),
+    ("fillColor", "ADBE Text Fill Color"),
+    ("fillHue", "ADBE Text Fill Hue"),
+    ("fillSaturation", "ADBE Text Fill Saturation"),
+    ("fillBrightness", "ADBE Text Fill Brightness"),
+    ("fillOpacity", "ADBE Text Fill Opacity"),
+    ("strokeColor", "ADBE Text Stroke Color"),
+    ("strokeHue", "ADBE Text Stroke Hue"),
+    ("strokeSaturation", "ADBE Text Stroke Saturation"),
+    ("strokeBrightness", "ADBE Text Stroke Brightness"),
+    ("strokeOpacity", "ADBE Text Stroke Opacity"),
+    ("strokeWidth", "ADBE Text Stroke Width"),
+    ("tracking", "ADBE Text Tracking Amount"),
+    ("lineAnchor", "ADBE Text Line Anchor"),
+    ("lineSpacing", "ADBE Text Line Spacing"),
+    ("characterOffset", "ADBE Text Character Offset"),
+    ("characterValue", "ADBE Text Character Replace"),
+    ("blur", "ADBE Text Blur"),
+];
+
+/// Companion properties that exist below an animator but are not kinds `addProperty` accepts:
+/// they come with Tracking (Track Type), Skew (Skew Axis) and per-character 3D Rotation
+/// (X and Y Rotation). Lookup and `.matchName` know them; `addProperty` does not.
+pub const TEXT_ANIMATOR_COMPANIONS: &[(&str, &str)] = &[
+    ("trackingType", "ADBE Text Track Type"),
+    ("skewAxis", "ADBE Text Skew Axis"),
+    ("rotationX", "ADBE Text Rotation X"),
+    ("rotationY", "ADBE Text Rotation Y"),
+];
+
 const TEXT_SELECTORS: &[(&str, &str)] =
     &[("rangeSelector", "ADBE Text Selector"), ("wigglySelector", "ADBE Text Wiggly Selector"), ("expressionSelector", "ADBE Text Expressible Selector")];
 
@@ -487,6 +525,9 @@ pub fn node(chain: &[&Node]) -> String {
         "text" if pid == "animators" => "ADBE Text Animator".into(),
         "text" if pid == "selectors" => find(TEXT_SELECTORS, id).map(str::to_string).unwrap_or_else(own),
         "text" if pid == "rangeSelector" => find(TEXT_RANGE_SELECTOR, id).map(str::to_string).unwrap_or_else(own),
+        "text" if pid == "properties" && chain.len() == 5 && chain.get(1).is_some_and(|n| n.match_id() == "animators") => {
+            find(TEXT_ANIMATOR_PROPERTIES, id).or_else(|| find(TEXT_ANIMATOR_COMPANIONS, id)).map(str::to_string).unwrap_or_else(own)
+        }
         "text" if grand.map(|g| g.match_id()) == Some("animators") => find(TEXT_ANIMATOR, id).map(str::to_string).unwrap_or_else(own),
         "cameraOptions" => find(CAMERA, id).map(str::to_string).unwrap_or_else(own),
         "lightOptions" => find(LIGHT, id).map(str::to_string).unwrap_or_else(own),
@@ -537,6 +578,30 @@ mod tests {
         assert_eq!(shape_kind("nope"), None);
     }
 
+    #[test]
+    fn text_animator_property_names_are_canonical_and_scoped() {
+        let n = |m: &str| Node::from(effectcraft_project::PropGroup::new(1, m, m));
+        let (text, animators, animator, properties) = (n("text"), n("animators"), n("animator"), n("properties"));
+        for (id, name) in TEXT_ANIMATOR_PROPERTIES {
+            let prop = n(id);
+            assert_eq!(node(&[&text, &animators, &animator, &properties, &prop]), *name);
+            assert_eq!(node(&[&properties, &prop]), *id, "an unrelated Properties group keeps its own ids");
+        }
+    }
+
+    /// #1063: the companions an animator property brings (Track Type, Skew Axis, X / Y Rotation)
+    /// have their After Effects names too, though `addProperty` does not accept them.
+    #[test]
+    fn text_animator_companions_have_after_effects_names() {
+        let n = |m: &str| Node::from(effectcraft_project::PropGroup::new(1, m, m));
+        let (text, animators, animator, properties) = (n("text"), n("animators"), n("animator"), n("properties"));
+        for (id, name) in TEXT_ANIMATOR_COMPANIONS {
+            let prop = n(id);
+            assert_eq!(node(&[&text, &animators, &animator, &properties, &prop]), *name);
+            assert!(!TEXT_ANIMATOR_PROPERTIES.iter().any(|(k, m)| k == id || m == name), "{id} is not an addProperty kind");
+        }
+    }
+
     #[test]
     fn text_range_selector_names() {
         let n = |m: &str| Node::from(effectcraft_project::PropGroup::new(1, m, m));
diff --git a/crates/script/src/model.rs b/crates/script/src/model.rs
index 23356c064..258a6de2d 100644
--- a/crates/script/src/model.rs
+++ b/crates/script/src/model.rs
@@ -743,36 +743,12 @@ fn resolve_add(s: &Session, a: &J) -> R {
 /// A text animator property (`layer.addTextAnimatorProperty` key) from an After Effects match
 /// name or a display name.
 fn text_animator_property(name: &str) -> Option<&'static str> {
-    const AE: &[(&str, &str)] = &[
-        ("ADBE Text Anchor Point 3D", "anchor"),
-        ("ADBE Text Position 3D", "position"),
-        ("ADBE Text Scale 3D", "scale"),
-        ("ADBE Text Skew", "skew"),
-        ("ADBE Text Rotation", "rotation"),
-        ("ADBE Text Opacity", "opacity"),
-        ("ADBE Text Fill Color", "fillColor"),
-        ("ADBE Text Fill Hue", "fillHue"),
-        ("ADBE Text Fill Saturation", "fillSaturation"),
-        ("ADBE Text Fill Brightness", "fillBrightness"),
-        ("ADBE Text Fill Opacity", "fillOpacity"),
-        ("ADBE Text Stroke Color", "strokeColor"),
-        ("ADBE Text Stroke Hue", "strokeHue"),
-        ("ADBE Text Stroke Saturation", "strokeSaturation"),
-        ("ADBE Text Stroke Brightness", "strokeBrightness"),
-        ("ADBE Text Stroke Opacity", "strokeOpacity"),
-        ("ADBE Text Stroke Width", "strokeWidth"),
-        ("ADBE Text Tracking Amount", "tracking"),
-        ("ADBE Text Line Anchor", "lineAnchor"),
-        ("ADBE Text Line Spacing", "lineSpacing"),
-        ("ADBE Text Character Offset", "characterOffset"),
-        ("ADBE Text Character Replace", "characterValue"),
-        ("ADBE Text Blur", "blur"),
-    ];
-    if let Some((_, k)) = AE.iter().find(|(m, _)| m.eq_ignore_ascii_case(name)) {
+    let table = matchnames::TEXT_ANIMATOR_PROPERTIES;
+    if let Some((k, _)) = table.iter().find(|(_, m)| m.eq_ignore_ascii_case(name)) {
         return Some(k);
     }
     let n = loose(name);
-    AE.iter().map(|(_, k)| *k).find(|k| loose(k) == n || (n == "anchorpoint" && *k == "anchor") || (n == "trackingamount" && *k == "tracking"))
+    table.iter().map(|(k, _)| *k).find(|k| loose(k) == n || (n == "anchorpoint" && *k == "anchor") || (n == "trackingamount" && *k == "tracking"))
 }
 
 /// `app.findMenuCommandId(name)`: 1-based index of the command whose label matches (menu items
diff --git a/crates/script/src/prelude.js b/crates/script/src/prelude.js
index f012ce128..a33714314 100644
--- a/crates/script/src/prelude.js
+++ b/crates/script/src/prelude.js
@@ -734,9 +734,8 @@ PropertyGroup.prototype.addProperty = function (name) {
   } else if (r.kind === "animator") {
     uid = __call("layer.addTextAnimator", { comp: L.__comp, layer: L.__id, properties: [] }).animator;
   } else if (r.kind === "animatorProperty") {
-    var before = this.numProperties;
-    __call("layer.addTextAnimatorProperty", { comp: L.__comp, layer: L.__id, animator: r.animator, property: r.property });
-    return this.property(before + 1);
+    var added = __call("layer.addTextAnimatorProperty", { comp: L.__comp, layer: L.__id, animator: r.animator, property: r.property });
+    return this.property(added.index);
   } else if (r.kind === "selector") {
     var n0 = this.numProperties;
     __call("layer.addTextSelector", { comp: L.__comp, layer: L.__id, animator: r.animator, kind: r.selector });
diff --git a/crates/script/src/tests.rs b/crates/script/src/tests.rs
index a2f674d0a..875885c11 100644
--- a/crates/script/src/tests.rs
+++ b/crates/script/src/tests.rs
@@ -1719,6 +1719,50 @@ fn layer_property_resolves_transform_and_source_text_shortcuts() {
     assert_eq!(layer(c, "s").props.prop("transform/opacity").unwrap().value, KV::Scalar(25.0));
 }
 
+/// A text animator property added by its After Effects name is the one asked for, not its Tracking
+/// Type companion, and it can be found again by that name (#1063).
+#[test]
+fn scripted_text_animator_property_is_the_one_asked_for() {
+    let mut s = session();
+    let o = ok(
+        &mut s,
+        r#"
+        var c = app.project.items.addComp("Track", 960, 300, 1, 3, 30);
+        var t = c.layers.addText("MOVARA");
+        var a = t.property("ADBE Text Properties").property("ADBE Text Animators").addProperty("ADBE Text Animator");
+        var props = a.property("ADBE Text Animator Properties");
+        var added = props.addProperty("ADBE Text Tracking Amount");
+        added.setValue(20);
+        [added.name, props.property("ADBE Text Tracking Amount").value, props.property("ADBE Text Tracking Amount").name,
+         added.matchName, props.property(added.matchName).propertyIndex]
+        "#,
+    );
+    assert_eq!(o.result, json!(["Tracking Amount", 20, "Tracking Amount", "ADBE Text Tracking Amount", 2]));
+}
+
+/// The companion properties added with Tracking and Skew are found by their After Effects names,
+/// but cannot be added on their own (#1063).
+#[test]
+fn text_animator_companion_properties_resolve_by_name() {
+    let mut s = session();
+    let o = ok(
+        &mut s,
+        r#"
+        var c = app.project.items.addComp("Track", 960, 300, 1, 3, 30);
+        var t = c.layers.addText("MOVARA");
+        var props = t.property("ADBE Text Properties").property("ADBE Text Animators").addProperty("ADBE Text Animator").property("ADBE Text Animator Properties");
+        props.addProperty("ADBE Text Tracking Amount");
+        props.addProperty("ADBE Text Skew");
+        var type = props.property("ADBE Text Track Type");
+        var axis = props.property("ADBE Text Skew Axis");
+        var added = "";
+        try { props.addProperty("ADBE Text Track Type"); added = "added"; } catch (e) { added = "refused"; }
+        [type ? type.matchName : null, axis ? axis.matchName : null, added]
+        "#,
+    );
+    assert_eq!(o.result, json!(["ADBE Text Track Type", "ADBE Text Skew Axis", "refused"]));
+}
+
 /// #1936: an array whose length doesn't match the property's dimension is an error in After
 /// Effects, not a value to truncate or broadcast. Two values for a 3-D property stay legal.
 #[test]