I don't know if this is the same James Hancox on the 1891 at Park Wood Cottage, Hammerton Farm, Stoneleigh:
James Hancox,Head,M,43,Farm Lab,Employed,Kenilworth Warwickshire
Sarah Hancox,Wife,M,39,Fillongley Warwickshire
George Hancox,Son,12,Scholar,Balsall Warwickshire
Lucy Hancox,Dau,9,Scholar,Balsall Warwickshire
This sort of fits, the age and occupation are right, and the Fillongley connection though seeming odd (a fair way from here) might be explained if James married a lass from his mother's home village.
Not rare enough a name to be certain, though. There;s more than one marriage on FreeBMD that fits the bill, though the Meriden one looks promising.