Nevis, you didn't come back to me, so I've decided to post them here for you. Note that the spellings of some names and also the relationships in the 1861 look wrong to me. Perhaps the enumerator was having a bad day! There is no such place as Haislering for instance!
1841
Living in Fleet Street, Coventry, St John & St Michael:
William Wagstaff, 60, Ribbon Weaver, born Warwickshire
Elizabeth Wagstaff, 35, Winder, born outside census county
Maria Wagstaff, 15, Winder, born Warwickshire
John Wagstaff, 11, Errand boy, born Warwickshire
David Wagstaff, 8, born Warwickshire
Elijah Wagstaff, 6, born Warwickshire
Caroline Wagstaff, 3, born Warwickshire
Emma Wagstaff, 1, born Warwickshire
1851
Living in Palmer Lane, Coventry Holy Trinity:
William Wagstaff, Head, 75, Weaver, born Coventry
Elizabeth Wagstaff, wife, 48, born Coventry
David Wagstaff, son, 19, Weaver, born Coventry
Elijah Wagstaff, 16, son, servant, born Coventry
Emma Wagstaff, daughter, 11, scholar, born Coventry
Ann Wagstaff, daughter, 2, born Coventry
1861
Living at 9 Cox Street, Court 12, Coventry St Michael:
William Wagstaff, head, 86, Silk Weaver, born Stoke, Warks
Elizabeth Wagstaff, wife, 59, Silk Winder, born Haislering unknown
Elijah Wagstaff, lodger, 26 Watchmaker, born Coventry
Mary Wagstaff, wife, 37, Silk Picker, born Bridgenorth, Shropshire
Cathealinar Wagstaff, lodger, single, 23, Silk Weaver, born Coventry
Maria Yardley, lodger, 11, born Coventry
Emma Wagstaff, lodger, 1, born Coventry