I tried attaching Flo's Will but too large. So here are the details -
When / Where born : 8th October 1912 11 Long Street, Aston
Elsie May
Mother : Flora Leighton, Laundry ironer of 11 Long Street, Aston (also informant)
Registered : 19th November
So long time between birth and registration.
I did wonder if 11 Long Street might have been an unmarried mother's home, but never found any information on that.
I don't know what help it would be to find Flo on 1911 census because that was taken April 1911 and Flo wasn't pregnant until around Feb / March 1912. Though of course one wants to find family being researched on every appropriate census !
Though I might try the FindMyPast website which is available at the library, see if that can offer anything.