The calculated distance (air line) between Brixton Hill and Stoke-on-Trent is approximately 138 miles respectively 223 kilometers.
By car or train, the actual journey to Stoke-on-Trent is certainly longer, as only the direct route (as the crow flies) between Brixton Hill and Stoke-on-Trent has been calculated here.
Air line (approximately)
223 kilometers
120 nautical miles