Hi Jen,
To start with here is the 1851 Census which shows a couple of extra children to the ones you listed;
1851 Census
39 Regent Road,
St Bartholmew, Manchester, Lancashire
HO107/2224/339/5
John ADAMSON, 52, Head, Mar, Painter/Chelsea Pensioner, born Bradbury, Cheshire
Margaret, 42, Wife, Mar, born Manchester, Lancashire
Daniel, 16, Son, Painter, born Ireland
John, 14, Son, Born Nova Scotia, British Subject
Joseph, 12, Son, born Plymouth, Devon
Thomas, 10, Son, Plymouth
Elizabeth, 7, Daug, born Gorton, Lancashire
Charles, 4, Son, born Gorton, Lancashire