I'm drawn to this family which has certain elements that fit and lots that are way off but it needs more work to dismiss................or prolong
1851 census
5, West Street, Saint Mary Magdalen Bermondsey, Southwark
James Mays..........Head....60.....Journeyman Cooper....Dagenham, Essex 
Elizabeth..."..........Wife.....57.........................................Great Lyth, Essex
Joseph......."..........Son......21 (unm)..................E H Jn RD, James Street 
Hepzitah Cose......Daur.....30 (Married).........................Poplar, Middlesex 
Thomas.....".....Grand Son...7........................................Bermondsey, Surrey
Richard Smith...Son In Law..23........Ship Joiner............Rotherhithe, Surrey 
Mary A......."..........Daur.......28......................................Poplar, Middlesex 
Mary A.......".....Grand Daur..4 months...........................Bermondsey, Surrey  
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*Richard Henry Smith married Mary Ann Mays 1849 Jun qtr, Bermondsey R.D
*A Richard Henry Smith died St Pancras 1855?......bit of a long shot
Bryant