The calculated distance (air line) between Roehampton and Stoke-on-Trent is approximately 135 miles respectively 217 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 Roehampton and Stoke-on-Trent has been calculated here.
Air line (approximately)
217 kilometers
117 nautical miles