Not sure if you have this but there appears to be another son who is not on the 1841 with William/Caroline.
Christenings Houghton Le Spring, Durham
Christenings, Parents William/Caroline WADDELL
Charles Barcley WADDELL, 04 January 1824
Caroline Elizabeth WADDELL, 1822 ( no date given)
Extracted records IGI
Death;
Charles Barclay WADDELL
September 1837, Chester le Street, 24 13
( just made into civil reg.!)
Good to see descendants making contact

Best of luck with everything
Trish
