The B6537 was the number allocated to the main east-west road through Skipton when the northern bypass was built; this was originally numbered A59 to the west and A65 to the east. The road is now part of a considerably extended A6069 (a road that already existed in the centre of Skipton); the B6537 was very short-lived if indeed it ever existed.
The road would have started on the A59 in the gap between the River Aire and the railway line and then followed the latter into town to pass the station. After following Belmont Street and Newmarket Street through the town centre it would have continued into open country to end on the A65 in the Skibeden area.