Hi Catherine
Yadd is a sub-district of Bottesford on the 1841 census (of Ashby, Bottesford, Burringham, East Butterwick (part), Holme, Yadd)
I've looked through all of these places and found 2 FOX families - one had no William or Jane - t'other one was
628-13/3
East Butterwick
George FOX 40 AgLab
Sarah 35
Mary 20
Sarah 15
Martha 13
George 11
William 9
John 4
Jane 4
All born Lincs
You'll find all of these (but Sarah) on the IGI, mostly at Bottesford ... it appears that John should be age 6.
Apparently, Yadd had no church of its own
http://www.genuki.org.uk/big/eng/LIN/Bottesford/