Need a new place to call home? Check out the apartments at Woodward Street in Austin, TX. Located in a quiet neighborhood, you can spend your time at home away from the usual hustle and bustle. The tree-lined streets are an appealing feature of the area around the complex. With an attached patio, you can step outside and get some fresh air whenever your heart desires. The complex is near downtown. Experience Austin living at Woodward Street. This apartment community is located on Woodward St.