Hi Jenz
You don't mention a town but there is this family in Walsall 1901 census:
12 Collyhedge ......
Thomas BIRCH 40 cabinet maker b.Bloswich
Clara wife 42 b.Walsall
Annie dau 17 sorter (buckle?) b.
Lily dau 14 lock cleaner
Martha dau 11
Clara dau 7
George B? son 3
All children born Walsall.
RG13/2698 folio 131
I don't know if this is the family that you are looking for as there was another Clara in the area at least

It is a lot easier if you post everything that you know ie. town, father's occupation etc. etc.
Best wishes
Casalguidi