In reply to Bobling:
Try the woods round Nettlebridge (just off the A367, south of Stratton on the Fosse). The village is alongside a road that would once have been the main road, but which is now bypassed. Park at the southern end of that road and go through the gate to access paths through the woods. It's not hugely large but is quite scenic; if you can find the stream (grid ref 653479) there's an old mill with a small waterfall, and then another nice path alongside it running upwards. It's quite a charming spot.
Alternatively, or better as well, go and see the castle at Nunney. It's another charming place, pocket size but with a moat and jackdaws wheeling about the ruined turrets.
T.