I don't know if this will help or hinder but.......
1851shows
William Patterson 31 Engine driver S Shields Durham
Jane Patterson Wife 28 Derby
Robert Wardropper son 8 scholar Tonbridge kent
HO107 2023 595 32
and there is a marriage FreeBMD
Mar qtr 1846
Bristol
on same page
William Paine Patterson
Mary jane Wardropper
11 193
so was jane really Mary jane???
also if Jane (Robert's mother) remarried before 1851 there ahould be a death for joseph - I can't find one?

How are you certain of Robert's parentage???
Do you have his birth cert?

Suz