Index: src/resolve.c
==================================================================
--- src/resolve.c
+++ src/resolve.c
@@ -1161,11 +1161,11 @@
             iCol = resolveOrderByTermToExprList(pParse, pSelect, pDup);
           }
           if( IN_RENAME_OBJECT ){
             if( iCol>0 ){
               pItem->done = 1;
-              break;
+              continue;
             }
           }else{
             sqlite3ExprDelete(db, pDup);
           }
         }

Index: test/altertab2.test
==================================================================
--- test/altertab2.test
+++ test/altertab2.test
@@ -260,9 +260,52 @@
   {CREATE TRIGGER r3 AFTER INSERT ON "t3x" WHEN new.abcd NOT NULL BEGIN
     SELECT abcd,b,c FROM "t3x" EXCEPT SELECT abcd,b,c FROM "t3x" ORDER BY abcd;
     SELECT rowid, * FROM "t3x";
   END}
 }
+
+#-------------------------------------------------------------------------
+reset_db
+
+do_execsql_test 7.0 {
+  CREATE TABLE t1(a,b,c,d,e,f);
+  INSERT INTO t1 VALUES(1,2,3,4,5,6);
+  CREATE TABLE t2(x,y,z);
+}
+
+do_execsql_test 7.1 {
+  SELECT a,b,c FROM t1 UNION SELECT d,e,f FROM t1 ORDER BY b,c;
+} {1 2 3 4 5 6}
+
+do_execsql_test 7.2 {
+  CREATE TRIGGER r1 AFTER INSERT ON t1 BEGIN
+    INSERT INTO t2
+    SELECT a,b,c FROM t1 UNION SELECT d,e,f FROM t1 ORDER BY b,c;
+  END;
+  INSERT INTO t1 VALUES(2,3,4,5,6,7);
+  SELECT * FROM t2;
+} {1 2 3  2 3 4  4 5 6  5 6 7}
+
+do_execsql_test 7.3 {
+  ALTER TABLE t1 RENAME TO xyzzy;
+  SELECT sql FROM sqlite_master WHERE name='r1'
+} {
+  {CREATE TRIGGER r1 AFTER INSERT ON "xyzzy" BEGIN
+    INSERT INTO t2
+    SELECT a,b,c FROM "xyzzy" UNION SELECT d,e,f FROM "xyzzy" ORDER BY b,c;
+  END}
+}
+
+do_execsql_test 7.3 {
+  ALTER TABLE xyzzy RENAME c TO ccc;
+  SELECT sql FROM sqlite_master WHERE name='r1'
+} {
+  {CREATE TRIGGER r1 AFTER INSERT ON "xyzzy" BEGIN
+    INSERT INTO t2
+    SELECT a,b,ccc FROM "xyzzy" UNION SELECT d,e,f FROM "xyzzy" ORDER BY b,ccc;
+  END}
+}
+
 
 finish_test