In 1841, Edward Bolton is at Middleton Hall in Ilderton, Northumberland with his uncle George.
Martha doesn't appear on the 1841 census as Martha Bolton, that I've ever found. There are quite a lot of illegible records for 1841 and also some with just initials.
I've been through just about every single birth register I can find in archives and online and so far, I can't find a baptism for Martha or a family connection, other than George & Edward.
I suspect she was illegitimate, as was her son Edward.
George Bolton (1808-1883) appears to be Martha's sister.
His own marriage to Barbara Moore is missing from the currently available data.
Either he didnt marry her or the records are lost.
Same for Edward & Margaret Henderson.
There are considerable gaps in the records available for North Northumberland, particularly as so many non-conformist churches were rapidly opening and closing. I'm missing a couple of baptisms and marriages for my own Boltons, particularly from the Wooler and Belford parishes.
We can but live in hope

Rob Bolton