Your local county record office should have the electoral rolls for the relevant period. The lists are in alphabetical order of streets, so it would only take a few moments to find the street listing and look to see who's listed against the relevant house number.
You can probably find the contact details listed here:
http://www.oz.net/~markhow/englishros.htm
(If not, look under the name of your county council in the phone Book, or ask at your local library).
Some (possibly most) record offices will provide the type of information you require over the phone. Others might insist that you call in person. If so, take your passport and/or driving licence, together with some documents to prove your address. (Record offices hold some very valuable historical documents, so they take precautions to check the identity of people using their facilities. Don't let these formalities put you off though; the staff are always helpful and it's easy to search their records).
Chris