The calculated distance (air line) between Shepperton and Stoke-on-Trent is approximately 133 miles respectively 214 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 Shepperton and Stoke-on-Trent has been calculated here.
Air line (approximately)
214 kilometers
116 nautical miles