The calculated distance (air line) between Darwen and Stoke-on-Trent is approximately 49 miles respectively 79 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 Darwen and Stoke-on-Trent has been calculated here.
Air line (approximately)
79 kilometers
43 nautical miles