Credit reference agencies are not permitted to link people together SOLELY because of their address, so you shouldn't experience any problems.
However, for perfectly understandable reasons, errors can occur. (e.g. If Mary Smith, with a bad credit rating, used to live in a property which is now occupied by Fred Smith, an agency might incorrectly assume that they're husband and wife, or otherwise related - even though Fred has never even met Mary).
If problems occur you simply need to file a 'notice of disassociation' with one of the main credit reference agencies (such as Experian). The agencies share such information, so should only need to file one such notice but (since it's free) you could contact the other agencies (Equifax and Call Credit). Contact details are on this page:
http://www.ico.gov.uk...ic_guides/credit.aspx
Chris