Nottingham is quite a lovely town, but no, there is no forest really left anymore...you might like the Forest of Dean in Oxfordhsire (I think? or is it Hampsire?)

I think you'd love Glastonbury, and if you go to Stonehenge plan to stay in Salisbury, and to visit Avebury (a much more accessible stone circle built around a tiny village) while you are the area..

Peg