This could be William in 1841 - names are rather difficult to read:
1841 census: East St, Nottingham St. Mary (HO107/869, book 1, f 28, p 13)
John Clarke, 30, Chimney Sweep, Y
Hannah Clarke, 30, Chimney Sweep, Y
William Brokley, 15, Chimney Sweep, Y
John Allen, 14, Chimney Sweep, No
George Sharpe, 14, Apprentice
William Caunt, 12, Apprentice
Sarah Caunt, 6
Mary Clarke, 3
William Caunt, 40, FWK
Frederick Lambert, 45, Chimney Sweep
Alexander