According to the 1911 UK census for Croydon the family living at 7 Birdhurst Rise, Croydon comprised:
William White, aged 52, WoolenMerchant, born Barnsbury, London.
His wife Fanny White, aged 50, married 27 years, born Pnders End, Essex.
Two of their three children were living with them. They are :-
Noel White, daughter, aged 26, single, born Acton, London, not working.
Arthur Bryan White, son, aged 22, single, Carpenter Accountant, born Acton, London.
They also had two live-in servants :-
Lily Smith, cook, and Emily May Vellenden, housemaid.
Looking back to the 1891 census in Acton we find William living with his wife Fanny at 26 Queen Anne's Road in Acton. He is a Wollen Merchant and they have two servants. Apparently no children yet.
In 1901 we find them still living at the same address in Acton but this time we are able to identify the third child as :-
L Carol White, son, aged 14, born Acton.
Hope this sets you on the path to discovery. Let me know if you would like copies of Acton census records.