Julia, I don't know of a group dedicated to wildlife photography (let me know if you find one!), but there are several camera clubs in the area and no doubt many wildlife enthusiasts amongst their membership.
I've been along to clubs in Stalybridge and Chapel (Hayfield), but I also know of clubs in Bramhall and Didsbury (South Manchester).
The Lancashire and Cheshire Photo Union affiliated clubs list might be a good place to look?