Hi again
I have found a family which seem to fit (with a couple of glitches.) See what you think...
1901
William T Carney, 30 Coachman Domestic, Single, born Warwick
lodger in Birmingham, St. Martin
1891
Catherine Carney 44 Widow born Ireland
William, 20, Bolt and Rivet maker, born Warwick
Margaret 18
Ellen 16
John 12
Edward 14
Annie 10
Kate 8
Elizabeth 4
59 High Park Road, Harborne Stafford
1881
William Carney, 37 Bricklayer's labourer, Ireland
Catherine 34, Ireland
James 12
William 10, b Birmingham
Mary 8
Ellen 6
Edward 4
John 2
Annie
12 House, Back of 65 Heath Street, Rotton (?) Park, Birmingham.
The Coachman and the bricklayer's labourer is there, albeit the wrong way round.
Birth:
Q1 1871 William Carney, Birmingham Ref: 6d113
It might be worth a try
Sandgrounder