At Twichell Road, NY 240 and CR 32 make a large bend to the west, crossing through Ashford before turning northeast and northwest. On the northwestern stretch, the route remains rural, crossing an intersection with Bond Road, where the route turns north along West Valley Road. NY 240 and CR 32 continue north through Ashford, intersecting with Beech Tree Road, where they cross Cattaraugus Creek just west of the Bigelow Bridge. After crossing the bridge, NY 240 enters Erie County and the town of Concord.