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It would be worth checking out Xerolycosa nemoralis. I hesitate to suggest it as an ID in the usual way because the photo isn't that good and it's hard to see detail. But it is found in that part of the country.
Looks likely. Sorry about the photos - it wouldn't stay still long! Plenty on the site tho.
Lat/Lng: 50.9918, -0.7898
OS grid ref: SU850220