The calculated distance (air line) between Stoke-on-Trent and Bramhall is approximately 24 miles respectively 39 kilometers.
By car or train, the actual journey to Bramhall is certainly longer, as only the direct route (as the crow flies) between Stoke-on-Trent and Bramhall has been calculated here.
Air line (approximately)
39 kilometers
21 nautical miles