This could help to confirm that you have the right family, Maths Girl:
Hannah Cook has a sister Sarah Ann (b. ) who married William Henry Wilcox. William H. and Sarah A's daughter Mabel is with John & Hannah Guest in 1901
1901
At Avondale Gate St., TiptonJohn Guest Head 58 Works Manager b. Worcs., Dudley
Hannah Guest Wife 57 b. Worcs., Dudley
Mabel Willcox Niece 21 b. Worcs., Dudley1891
At 123 Highside, Dudley
William H Willcox Head 38 Plasterer b. Worcs., Dudley
Sarah A Willcox Wife 37 b. Worcs., DudleyArthur Willcox Son 18 Plasterer's labourer b. Worcs., Dudley
Maud Willcox Daur 14 b. Worcs., Dudley
Mabel Willcox Daur 12 b. Worcs., DudleyHelena Willcox Daur 6 b. Worcs., Dudley
Winifred Willcox Daur 2 b. Worcs., Dudley
Lillian Willcox Daur 2 b. Worcs., Dudley
Free BMDs - Marriage:Sarah Ann Cooke 1872 Stourbridge Shropshire, Staffordshire, West Midlands, Worcestershire
William Henry Wilcox 1872 Stourbridge Shropshire, Staffordshire, West Midlands, Worcestershire
cf.:
Maths girl wrote:1871 St John Street, Dudley
COOK, William Head M 59 1812 Somerset Engine fitter at factory
COOK, Mary A Wife F 51 1820 Worcestershire
COOK, Hannah Daughter F 26 1845 Worcestershire
COOK, Sarah A Daughter F 16 1855 Worcestershire
1861 Bath Street, Dudley
COOK, William Head Married M 49 1812 Engine Fitter Norton Somersetshire
COOK, Mary Ann Wife Married F 43 1818 Dudley Worcestershire
COOK, William J Son Unmarried M 19 1842 Engine Fitter Dudley Worcestershire
COOK, Hannah Daughter Unmarried F 16 1845 Dudley Worcestershire
COOK, Sarah A Daughter F 6 1855 Dudley Worcestershire
1851 79, Church Street, Dudley (ages as stated here on original)!!
COOK, William Head Married M 59 1792 Engine Fitter Midsomers Somersetshire
COOK, M A Wife Married F 52 1799 At Home Dudley
COOK, William J Son Unmarried M 9 1842 Scholar Dudley
COOK, Hannah Daughter Unmarried F 6 1845 Scholar Dudley
COOK, Job Son Unmarried M 0 (4 MOS) 1851 At Home Dudley
COOK, Job Visitor Married M 61 1790 Miner Norton Somersetshire
COOK, Martha Wife Married F 53 1798 Miner Monmouthshire