Could this be your man?
1851 census
HO 107 1499
Islington, Trinity, Finsbury
Islington West, District 20 Page 9
19 Pulteny Street
Charles Cole Head 30 Islington, Middlesex, England (Carpenter Journeyman)
Mary Ann Cole Wife 27 Clerkenwell, Middlesex, England
Charles Cole Son 8 Islington, Middlesex, England
John Cole Son 5 Islington, Middlesex, England
Mary Cole Daughter 2 Islington, Middlesex, England
Ray