Hi from me too
There is a family tree on Ancestry which has these details for the daughter born on 10 Jan 1914:
GARNER, DORIS KATHLEEN SULLIVAN
GRO Reference: 1914 M Quarter in CROYDON Volume 02A Page 726
Death is given as 17 Jan 2009 in Bury St Edmunds
Mother was Catherine/Kathleen Sullivan (marriage Sept 1910 Beddington, Surrey).
From reg: Marriages 3rd Qrt 1910
Henry Garner and Kate Sullivan Croydon 2a 529
Should therefore show on the 1911 census.
Likely death for mother:
3rd Qrt 1918 - Kathleen Garner 26 Croydon 2a 419
Monica