Wouldn't getting the marriage of Robert to Elizabeth Charlton give you his father's name and occupation?
There is a 28 Aug 1831 baptism of a Robert with parents Joseph and Margaret , shipwright along with a sister Ann who was born 19 May 1828. There is an Isabella baptised in 1810 with parents Joseph and Margaret nee Castles said they were from Gateshead.
baptisms of the children of Robert and Elizabeth at All Saints that I have on my index:
Robert 3 Aug 1851, Line? Street, waterman
George 13 Apr 1857, Ballast Hills, Keelman
Ann Elizabeth 6 Dec 1858, Ballast Hills, Waterman
Joshua 25 May 1862, Quality Row, Waterman
Martha born 5 Sept 1863, baptised 14 Mar 1864, Line? Street, Waterman
Matthew born 4 Aug 1866, baptised 19 Aug 1866, Ouseburn, Waterman
Janis