It could be that her maiden name was WILLS or WELLS.
Marriage at All Saints Hastings, 19 April 1851
Thomas Seymour, of full age, Widower, Laborer, father Thomas Wallerd, Laborer
+
Harriet Wills, of full age, Widow, Charwoman, father Stephen Adams, Laborer
residence for both All Saints
Both marked
Witnessed by John Cox, Francis Sinden
1851 census, in St Clements, Hastings (piece 1635 folio 323 page 50)
12 East Parade
Harriot Wills Head Widow 49 Laundress, born Robertsbridge Sussex
Mary Wills Visitor Widow 58, born Middlesex
Matilda Wills Visitor Mar 19 Middlesex
Jane Wills Visitor 5 mo Middlesex
Other household at number 12 is headed up by John Cox, House Agent. Possibly the marriage witness?