Just a snippet - the convict indent for John Thompson gives his native place as "Birmingham". The names of his family on that indent are certainly co-incidental with those in the 1841 census entry.
If these two are the same person perhaps Cunningham was his birth name and 'John Thompson' was an alias.
This may be his father, perhaps stepmother, and two siblings in 1851. The surname in the Ancestry index has two 'n's but the spelling on the image is CUNINGHAM which matches Debra's 1841 transcript. However the father's age is not consistent with the earlier record.

37 Faucett St, Manchester
Peter Cunningham 46, labourer, b Ireland
Catherine Cunningham 30, dressmaker, b Ireland
John Cunningham 12, errand boy, b Manchester
Peter Cunningham 10, scholar, b Manchester
James Long 22, visitor, sizer?, b Manchester
Michael Renolds 19, visitor, striker?, b Ireland
Peter Reynolds 17, visitor, striper?, b Ireland
James Reynolds 14, visitor, piercer? b Ireland
Bridget Oneal 70, visitor, almswoman, b Ireland
(There is an O'Neal family next door - perhaps Bridget may bepart of that family?)
Anyhow, doesn't help much

Judith