I think this must be your family.
IGI in family search has a marriage of Thomas EYRE to Letitia BROWN 5 Sep 1836 Kingston on Hull, batch M107481.
1861 census RG9-3374 Folio 40, Eastfield Street, Leeds
Thomas EYRE Head Mar 49 Hair dresser LIN Ferry?
Letitia do Wife Mar 45 Ireland
Samuel do Son Un 22 Labourer YKS Hull
John do Son Un 15 Coal Miner YKS Hull
Robert do Son 13 Coal Miner YKS Hull
Letitia do Daur 9 Scholar YKS Leeds
Elizabeth do Daur 5 Scholar YKS Leeds
John ODDY Son in Law Mar 38 Oil Crusher YKS Leeds
Sarah Anne Wife Mar 20 YKS Hull
FreeBMD has birth of Sarah Ann EYRE Jun qtr 1840 Hull 22 411
1851 census Ho107-2319 Folio 502, 1 Bombay Street, Leeds
Thomas EYRE Head Mar 37 Hair Dresser LIN Garthrop
Lattia do Wife Mar 35 (Soldiers Daughter crossed out) Ireland
Thomas do Son Um 17 Painter LIN Gainsbrough
Ingram do Son 14 Butcher LIN Epsworth
Samuel do Son 12 Hair Dresser YKS Hull
Sarah Ann do Daur 11 YKS Hull
John do Son 8 YKS Hull
Robert do Son 6 YKS Hull
Mary Ann do Daur 10m YKS Leeds
Bryan