Looking at the 1851
James is down as the son of James and Jane, born Gateshead - see family above. Living with them is father in law Joseph Green.
The 1833 one could possibly be born Morpeth, Woodman, living with sisters Margaret and Mary Maria (born c1837) Going from your last post he doesn't seem likely.
Ref for the workhouse
HO107, Piece 833, Book 12, Folio 50, Page 2, Line 3
Evie