diff --git a/ibis/backends/databricks/__init__.py b/ibis/backends/databricks/__init__.py
index 24bbf55de565..bc38d1c142a0 100644
--- a/ibis/backends/databricks/__init__.py
+++ b/ibis/backends/databricks/__init__.py
@@ -254,7 +254,9 @@ def create_table(
 
         return self.table(name, database=(catalog, database))
 
-    def table(self, name: str, /, *, database: str | None = None) -> ir.Table:
+    def table(
+        self, name: str, /, *, database: str | tuple[str, str] | None = None
+    ) -> ir.Table:
         table_loc = self._to_sqlglot_table(database)
 
         # TODO: set these to better defaults
@@ -500,15 +502,17 @@ def finalizer(path: str = path, con=self.con) -> None:
     def create_database(
         self, name: str, /, *, catalog: str | None = None, force: bool = False
     ) -> None:
-        name = sg.table(name, catalog=catalog, quoted=self.compiler.quoted)
-        with self._safe_raw_sql(sge.Create(this=name, kind="SCHEMA", replace=force)):
+        full_name = sg.table(name, catalog=catalog, quoted=self.compiler.quoted)
+        with self._safe_raw_sql(
+            sge.Create(this=full_name, kind="SCHEMA", replace=force)
+        ):
             pass
 
     def drop_database(
         self, name: str, /, *, catalog: str | None = None, force: bool = False
     ) -> None:
-        name = sg.table(name, catalog=catalog, quoted=self.compiler.quoted)
-        with self._safe_raw_sql(sge.Drop(this=name, kind="SCHEMA", replace=force)):
+        full_name = sg.table(name, catalog=catalog, quoted=self.compiler.quoted)
+        with self._safe_raw_sql(sge.Drop(this=full_name, kind="SCHEMA", replace=force)):
             pass
 
     def list_tables(
@@ -531,7 +535,7 @@ def to_pyarrow_batches(
         /,
         *,
         params: Mapping[ir.Scalar, Any] | None = None,
-        limit: int | str | None = None,
+        limit: int | None = None,
         chunk_size: int = 1_000_000,
         **_: Any,
     ) -> pa.ipc.RecordBatchReader:
@@ -573,7 +577,7 @@ def to_pyarrow(
         /,
         *,
         params: Mapping[ir.Scalar, Any] | None = None,
-        limit: int | str | None = None,
+        limit: int | None = None,
         **kwargs: Any,
     ) -> pa.Table:
         self._run_pre_execute_hooks(expr)
@@ -592,7 +596,7 @@ def _fetch_from_cursor(self, cursor, schema: sch.Schema) -> pd.DataFrame:
         if (table := cursor.fetchall_arrow()) is None:
             table = schema.to_pyarrow().empty_table()
         df = table.to_pandas(timestamp_as_object=True)
-        df.columns = list(schema.names)
+        df.columns = list(schema)
         return df
 
     def _get_schema_using_query(self, query: str) -> sch.Schema: