Hi Su
You mayhave to get a cert to get further withany certainty, Moorhouse is a common name.
However there are two William's living in the North Bierley area of Bradford (Bowling)
1)
MOORHOUSE, John Head Married M 44 1857 Woollen Piece Dyers Labourer Bradford Yorkshire
MOORHOUSE, John Edward Son Single M 21 1880 Railway Carter Bradford
MOORHOUSE, George Son Single M 18 1883 Worsted Yarn Scourer Bradford
MOORHOUSE, Margaret Wife Married F 44 1857 Housewife Bradford Yorkshire
MOORHOUSE, Alfred Son Single M 13 1888 Worsted Spinner Bradford
MOORHOUSE, William Son Single M 10 1891 At School Bradford Yorkshire
MOORHOUSE, Martha Ann Daughter Single F 8 1893 At School Bradford
MOORHOUSE, Henry Son Single M 5 1896 At School Bradford Yorkshire
MOORHOUSE, Horace Son Single M 3 1898 Bradford Yorkshire
Piece:4143 Folio:11 Page:13
Registration District: Bradford
Address: 79, Broom Street, Bradford Yorkshire (West riding)
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2 - I cannot find on 1901 so will send it by PM