hi rosemarie, i just had a look in my good guide to dog friendly bk and listed are :-
castle house, chester 01224 350354
frogg manor, broxton, cheshire 01829 782629
hoole hall, hoole, chester 01244 408800
thou they do look to be a bit on the expensive side, not sure if they r hotels or b&b's. have you tried searching on google, i just had a go and there are alot of b&b's but i think you will have to ring them all to find out if dog friendly. There doesnt seem to be any good websites listing dog friendly places, i know i've tried the ones that exsist and its very hit and miss :-(
good luck :-)