Appears to be William in 1841 Census in Timberland, Lincs;
Elizabeth Potterton, 60, Ag Lab
William Potterton, 13, Ag Lab
George Potterton, 12
John Potterton, 2
Elizabeth Potterton, 7
Mary Potterton, 5
GRO Index Birth Reg;
POTTERTON, JOHN, Mothers mn HUTCHINSON***
GRO Reference: 1838 S Quarter in SLEAFORD Volume 14 Page 458
Now I dont think a 60 year old would have a 2 year old so Elizabeth may be their Grandmother or at GM to younger Children.