The calculated distance (air line) between Stoke-on-Trent and Battersea is approximately 136 miles respectively 219 kilometers.
By car or train, the actual journey to Battersea is certainly longer, as only the direct route (as the crow flies) between Stoke-on-Trent and Battersea has been calculated here.
Air line (approximately)
219 kilometers
118 nautical miles