In which case, I think this is a likely family on the 1901 census:
55 Doctor St, Seaham
Joseph Wilkinson Head Mar 42 Coal hewer bn Durham, Seaham
Isabella Wilkinson wife mar 32 bn Durham Sheriff hill
Margaret wilkinson dau 14 bn Durham, Silksworth
Annie Wilkinson dau 12 bn Durham, Seaham
William Wilkinson son 10 bn Durham, Seaham
Violet wilkinson dau 8 bn Durham, Seaham
Alice Wilkinson dau 6 bn Durham, Seaham
Hannah Isabella Wilkinson dau 4 bn Durham, Seaham
Florence Wilkinson dau 2 bn Durham, Seaham
William Cummings uncle single 60 Coal Miner - Shifter bn Durham, Kelloe