Zac, if you want to learn bladesmithing, then in the U.K. the best thing to do is join British Blades they have quite a few hammer-ins & other stuff going now, and new people are always made welcome as long as they aren't idiots. I go by the same name there as here.
(Glenn, I hope it's okay to post that link?) Not a problem, glad you did
Also Zac, I remember a blacksmith's shop visible from the M4 at Slough (well, the sign is anyway). I confess I never made the opportunity to visit them, but they're the only smith I know of in your immediate area. Or have you been & found they're fabricators, not blacksmiths?
There is an artist smith the other side of Henley. Whether they'd be willing to let you do anything, I don't know.
There is also a list on BABA's website of smiths willing to teach or apprentice. Make sure you look it up as there's quite possibly someone that you could get to.