I did a search and just entered yorkie rescue England and this is what I came up with...I am sure there are more but I just picked this one to show you.
http://www.dogpages.org.uk/breeds.htm
Lincoln and Humberside Yorkshire Terrier Club Rescue
Mrs E A Stuart, Jacksdale, Notts. Tel: 01773 768071 or 07970 475157
Southern Yorkie Rehoming
Mrs Depree, Sompting, West Sussex. Tel: 01903 754690
Yorkshire Terrier Club of Scotland Rescue
Mr James Cadger, Hawick. Tel:01450 376137
Yorkshire Terrier Club Rescue
Mrs B Evans (Co-ordinator), Brickhill, Bedford. Tel: 01234 262515
Yorkshire Terrier Rescue
Mr T & Mrs W Souter, Cornwall. Tel: 01752 785722