I've just found this group, and hope someone can point me in the right direction.
My wife's grandmother was Catherine Elizabeth Cook Cornforth, born Lanchester 1884.
Catherine's father was Hugh Cook Cornforth, born Sunderland Apr 1829.
His parents were William Cornforth and Catherine Duck. One source (http://wc.rootsweb.ancestry.com/cgi-bin/igm.cgi?op=GET&db=:3036927&id=I225) has William born 12 Aug 1802, parents John Cornforth and Eleanor Story, while another (http://www.gencircles.com/users/abraxsus/32/data/107599) has William born 24 Oct 1796, parents William Cornforth and Jane Robinson.
I'm inclined to think the first source is the more accurate, but would welcome opinions on this.
I would be most grateful if anyone who has researched this line or can suggest further lines of enquiry could make themselves known to me.