The calculated distance (air line) between Norbury and Stoke-on-Trent is approximately 140 miles respectively 226 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 Norbury and Stoke-on-Trent has been calculated here.
Air line (approximately)
226 kilometers
122 nautical miles