The calculated distance (air line) between Stoke-on-Trent and Eastleigh is approximately 145 miles respectively 234 kilometers.
By car or train, the actual journey to Eastleigh is certainly longer, as only the direct route (as the crow flies) between Stoke-on-Trent and Eastleigh has been calculated here.
Air line (approximately)
234 kilometers
126 nautical miles