Hi Jan
I couldn't find any of them in 1871 under the name Williams, but I did find this
William Hibbert head wid 72?

Leics Sheepshed
Joseph " son u/m 25 collier " Thringstone
Hannah " dau u/m 34 " "
William " gr/son u/m 11 " "
Mary " gr/dau u/m 7 scholar "
Eliza " " u/m 6 " "
Joseph " gr/son u/m 2 "
living at Thringstone,Whitwick Leics
Rg10/ 3251
folio 60
page 17
ricky