William was my gt grandfather and all I know is that he said he was a true cockney born within the sound of Bow Bells and that he was very short. I have found WW1 attestation papers which I believe to be his - address of Bromley by Bow but what really tipped me off was his height - 5' 3" and described as having a lady's stature!
On the papers he was 24 in 1914 and his next of kin was his mother named Sarah Randall.
My apologies, but I wonder whether you have slightly misread William's attestation papers:
Height 5' 3 1/8" Girth 35 inches when fully expanded, range of expansion 3 inches.
Distinctive marks: Lady's figure and dots - right forearm. Dots - left forearm.
I read that as tattoos.

And I think we have to remember that people were not so tall back at the beginning of the 20th century. OK he was on the short side, but not exceptionally so - average height for males in 1900 was 5' 6".