Hope Dave can answer your question.

I see a birth registered in Croydon
Daisy Cooper
June quarter 1893
Volume 2a page 275
Checking genuki for the Croydon registration district, I see it covers Penge
CroydonCreated 1st July 1837.
Sub-districts : Croydon; Mitcham
GRO volumes : IV (1837-51); 2a (1852-1930). Addington, Beddington, Coulsdon, Croydon, Merton, Mitcham, Morden,
Penge, Sanderstead, Wallington, Woodmansterne.
Edit: However I now see the 1901 has another Daisy Cooper, age 7, born Croydon 