Hi Rhial,
are you still interested in this? I may have found the family as follows in a lodging house at Witton St in Witton, Cheshire:
John Birchall, mar, 36, chainmaker, b. Lancashire Oldham
Sarah do., mar, 29, chainmaker wife b. Ireland
John do., 13, chainmaker son b. Wolverhampton
Hannah do., 7, chainmaker daughter b. Ashbourne Derby
James do., 5, chainmaker son b. Ashbourne Derby
Peter do, 1, chainmaker son b. Handley
The enumerator (later?) added 'Chester' next to Handley. No doubt it should have read Hanley Staffs.
RG9/2603
Reg. Dist. Northwich
Sub-reg. district Northwich
ED 13, folio 107, p. 3
What do you say

Tanja