diff --git a/crates/engine/src/cmd/formulas.rs b/crates/engine/src/cmd/formulas.rs
index 2bea26cda..0c9eb5c3e 100644
--- a/crates/engine/src/cmd/formulas.rs
+++ b/crates/engine/src/cmd/formulas.rs
@@ -36,7 +36,7 @@ pub fn specs() -> Vec<CommandSpec> {
             has_doc,
             define_name
         ),
-        cmd!("formulas.deleteName", "Delete Name", [], None, "{name, scope?}", has_doc, delete_name),
+        cmd!("formulas.deleteName", "Delete Name", [], None, "{name, scope?: \"Workbook\"|sheet name (default: every scope)}", has_doc, delete_name),
         cmd!(query "formulas.nameManager", "Name Manager", ["Formulas", "Defined Names"], Some("Cmd+F3"), "{} → names with values", has_doc, name_manager),
         cmd!(
             "formulas.createFromSelection",
@@ -264,9 +264,14 @@ fn define_name(s: &mut Session, p: &Json) -> Result<Json> {
 
 fn delete_name(s: &mut Session, p: &Json) -> Result<Json> {
     let name = str_param(p, "name").ok_or_else(|| bad("formulas.deleteName", "missing `name`"))?.to_string();
+    let scope = match str_param(p, "scope") {
+        None => None,
+        Some("Workbook") => Some(None),
+        Some(sh) => Some(Some(s.doc()?.wb.sheet_index(sh).ok_or_else(|| bad("formulas.deleteName", "no such sheet"))?)),
+    };
     edit(s, |cx| {
         let before = cx.wb.names.len();
-        cx.wb.names.retain(|n| !n.name.eq_ignore_ascii_case(&name));
+        cx.wb.names.retain(|n| !(n.name.eq_ignore_ascii_case(&name) && scope.is_none_or(|sc| n.scope == sc)));
         if cx.wb.names.len() == before {
             return Err(bad("formulas.deleteName", "no such name"));
         }
diff --git a/crates/engine/src/cmd/sheet.rs b/crates/engine/src/cmd/sheet.rs
index 837f0806a..a6a3d5c39 100644
--- a/crates/engine/src/cmd/sheet.rs
+++ b/crates/engine/src/cmd/sheet.rs
@@ -392,6 +392,13 @@ fn delete_sheet(s: &mut Session, p: &Json) -> Result<Json> {
             {
                 *sc -= 1;
             }
+            // Names referring to the sheet become #REF!.
+            if let Ok(e) = gridcraft_formula::parse(&n.formula) {
+                let ne = gridcraft_formula::adjust::delete_sheet(e.clone(), &name);
+                if ne != e {
+                    n.formula = gridcraft_formula::print(&ne);
+                }
+            }
         }
         if cx.wb.active_sheet >= cx.wb.sheets.len() || cx.wb.active_sheet > i {
             cx.wb.active_sheet = cx.wb.active_sheet.saturating_sub(1).min(cx.wb.sheets.len().saturating_sub(1));
@@ -461,10 +468,31 @@ fn move_sheet(s: &mut Session, p: &Json) -> Result<Json> {
         if copy {
             let mut sh = (*src).clone();
             let base = sh.name.clone();
-            let name = (2..).map(|k| format!("{base} ({k})")).find(|nm| cx.wb.sheet_index(nm).is_none()).unwrap_or(base);
+            let name = (2..).map(|k| format!("{base} ({k})")).find(|nm| cx.wb.sheet_index(nm).is_none()).unwrap_or(base.clone());
             sh.name = name.chars().take(31).collect();
             sh.tables.clear(); // table names must be unique
             let at = to.min(n);
+            // The copy gets its own copies of the sheet's names, referring to the copy.
+            let copies: Vec<gridcraft_model::DefinedName> = cx
+                .wb
+                .names
+                .iter()
+                .filter(|nm| nm.scope == Some(i))
+                .map(|nm| {
+                    let formula = gridcraft_formula::parse(&nm.formula)
+                        .map(|e| gridcraft_formula::print(&gridcraft_formula::adjust::rename_sheet(e, &base, &sh.name)))
+                        .unwrap_or_else(|_| nm.formula.clone());
+                    gridcraft_model::DefinedName { scope: Some(at), formula, ..nm.clone() }
+                })
+                .collect();
+            for nm in cx.wb.names.iter_mut() {
+                if let Some(sc) = nm.scope.as_mut()
+                    && *sc >= at
+                {
+                    *sc += 1;
+                }
+            }
+            cx.wb.names.extend(copies);
             cx.wb.sheets.insert(at, Arc::new(sh));
             cx.wb.active_sheet = at;
         } else {
@@ -472,6 +500,17 @@ fn move_sheet(s: &mut Session, p: &Json) -> Result<Json> {
             let at = to.min(n - 1);
             cx.wb.sheets.insert(at, sh);
             cx.wb.active_sheet = at;
+            // Sheet-level names follow their sheet.
+            for nm in cx.wb.names.iter_mut() {
+                if let Some(sc) = nm.scope.as_mut() {
+                    *sc = match *sc {
+                        x if x == i => at,
+                        x if i < x && x <= at => x - 1,
+                        x if at <= x && x < i => x + 1,
+                        x => x,
+                    };
+                }
+            }
         }
         cx.structural = true;
         Ok(Json::Null)
diff --git a/crates/engine/src/tests.rs b/crates/engine/src/tests.rs
index f3e36cdf4..bd51545bd 100644
--- a/crates/engine/src/tests.rs
+++ b/crates/engine/src/tests.rs
@@ -134,6 +134,51 @@ fn sheets() {
     assert_eq!(s.execute("cell.get", json!({"cell": "A1"})).unwrap()["formula"], "='My Data'!A1*2");
 }
 
+#[test]
+fn sheet_operations_keep_names_on_their_sheets() {
+    let names = |s: &Session| -> Vec<(String, Option<String>, String)> {
+        let wb = &s.doc().unwrap().wb;
+        let mut v: Vec<_> =
+            wb.names.iter().map(|n| (n.name.clone(), n.scope.and_then(|i| wb.sheet(i)).map(|s| s.name.clone()), n.formula.clone())).collect();
+        v.sort();
+        v
+    };
+    let named = |n: &str, scope: Option<&str>, f: &str| (n.to_string(), scope.map(str::to_string), f.to_string());
+    let mut s = s();
+    s.execute("home.insertSheet", json!({"name": "Data"})).unwrap();
+    s.execute("home.insertSheet", json!({"name": "Notes"})).unwrap();
+    s.execute("formulas.defineName", json!({"name": "Rate", "refersTo": "=Data!$A$1", "scope": "Data"})).unwrap();
+    s.execute("formulas.defineName", json!({"name": "Rate", "refersTo": "=Notes!$B$1", "scope": "Notes"})).unwrap();
+    s.execute("formulas.defineName", json!({"name": "Total", "refersTo": "=Data!$C$1"})).unwrap();
+    // Moving Data (index 1) to the end: its names go with it.
+    s.execute("sheet.move", json!({"sheet": "Data", "to": 2})).unwrap();
+    assert_eq!(names(&s), [named("Rate", Some("Data"), "Data!$A$1"), named("Rate", Some("Notes"), "Notes!$B$1"), named("Total", None, "Data!$C$1")]);
+    // Copying Data to the front copies its sheet-level names, referring to the copy.
+    s.execute("sheet.move", json!({"sheet": "Data", "to": 0, "copy": true})).unwrap();
+    assert_eq!(s.doc().unwrap().wb.sheets[0].name, "Data (2)");
+    assert_eq!(
+        names(&s),
+        [
+            named("Rate", Some("Data"), "Data!$A$1"),
+            named("Rate", Some("Data (2)"), "'Data (2)'!$A$1"),
+            named("Rate", Some("Notes"), "Notes!$B$1"),
+            named("Total", None, "Data!$C$1")
+        ]
+    );
+    // Deleting Data removes its names; names referring to it become #REF!.
+    s.execute("home.deleteSheet", json!({"sheet": "Data"})).unwrap();
+    assert_eq!(
+        names(&s),
+        [named("Rate", Some("Data (2)"), "'Data (2)'!$A$1"), named("Rate", Some("Notes"), "Notes!$B$1"), named("Total", None, "#REF!")]
+    );
+    // Deleting a name in one scope keeps the others.
+    s.execute("formulas.deleteName", json!({"name": "rate", "scope": "Notes"})).unwrap();
+    assert_eq!(names(&s), [named("Rate", Some("Data (2)"), "'Data (2)'!$A$1"), named("Total", None, "#REF!")]);
+    assert!(s.execute("formulas.deleteName", json!({"name": "Total", "scope": "Notes"})).is_err());
+    s.execute("formulas.deleteName", json!({"name": "Total", "scope": "Workbook"})).unwrap();
+    assert_eq!(names(&s).len(), 1);
+}
+
 #[test]
 fn xlsx_roundtrip_through_engine() {
     let mut s = s();
diff --git a/crates/ui-egui/src/dialogs.rs b/crates/ui-egui/src/dialogs.rs
index b6c186d2d..dd2791bb9 100644
--- a/crates/ui-egui/src/dialogs.rs
+++ b/crates/ui-egui/src/dialogs.rs
@@ -1368,7 +1368,7 @@ fn name_manager(app: &mut SheetApp, ui: &mut egui::Ui) {
             ui.horizontal(|ui| {
                 ui.label(n["scope"].as_str().unwrap_or(""));
                 if ui.small_button("Delete").clicked() {
-                    app.run_or_alert("formulas.deleteName", json!({"name": n["name"]}));
+                    app.run_or_alert("formulas.deleteName", json!({"name": n["name"], "scope": n["scope"]}));
                 }
             });
             ui.end_row();