Williams Marriages and therefore Ann Mothers name.
1851 he is Married to Ann;
276 Upper Tower St, House 6,
Birmingham, Warwickshire
HO107/2058/235/18
William Adams, 37 , Head, Mar, Toolmaker, born Wolverhampton, Staffordshire
Ann Adams, 48, Wife, Mar, born Chadsley Corbett, Worcestershire
Elizabeth Adams, 14
Henry Adams, 11
Harriet Adams, 7*****
Children all born Birmingham, Warwickshire
As you know Harriets 1845 Baptism has Parents as WILLIAM/ANN, abode Tower St Birmingham, Fathers Occp Blacksmith
(FreeREG)
1871 William is married to Mary Ann;
William Adams, 56
Mary Ann Adams,46
Harriet Adams, 27****
2nd MARRIAGE for William;
18 Oct 1857
Birmingham, St Stephen, Warwickshire,
William ADAMS age 43 (1814) Smith, Widower, Father THOMAS, Shoemaker (dead)
Mary Ann MOLES, age 32, Spinster, Father ABRAHAM, Bone Sawer (dead)
Both have address as Tower St
Witnesses, Thomas and Ann Lane
(Source Anc.)
1st MARRIAGE;
17 Dec 1838
Birmingham, St George, Warwickshire
William ADAMS, 25 (1813), Bachelor, Blacksmith, Father THOMAS, Shoemaker
Ann MAYLETT, age 35 (1803), Widow*, Father John BROOKS, Labouer
Witnesses, William and Elizabeth Deer
(Source Anc.)
Trish

EDIT;
1861 Census
William Adams, 46, Blacksmith
Mary A Adams, 36
Henry Adams, 21
Harriot Adams, 18****