This looks to be the family from the 1851 census information.
1861 census RG9 252 folio 30
12 Morpeth Street Bethnal Green St Matthew Middlesex
Joseph Thorne 43 Bethnal Green, Middlesex, Head Married Cabinet maker
Mary Ann Thorne 45 Bethnal Green, Middlesex, Wife Married
Mary Ann Thorne 20 Bethnal Green, Middlesex, Daughter
Joseph J Thorne 16 Bethnal Green, Middlesex, Son
George E Thorne 8 Bethnal Green, Middlesex, Son
Emma E Thorne 5 Bethnal Green, Middlesex, Daughter
Edwin Houghton 18 Bethnal Green, Middlesex, Apprentice
Regards
Valda