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.