Hi
Whilst trawling the 1851 Durham census spotted a family of ABBS. Not sure if you already have the details but thought best to post it just in case.
Details:
Thomas ABBS Head, Married, 36, Mariner B/Place: Norfolk, Runton
Mary Wife, Married, 34 Durham, Sunderland
Mary Daug 9, Scholar Durham, Sunderland
Dorothy Daug 3, Durham, Sunderland
Address: 1 Vine Street (High Part of Moor), Sunderland
Ref: HO107/2397 Folio 190 Page 63
Hope this is of use to you.
Regards
Sue