Re any connection between the wee baby David and Jane...
I hope I am not starting an urban myth..... but may I share the following piece of oral history, directly handed to me in my childhood.
Back in the 1950s, JM (a "girl child" )and a Grandparent are at a cemetery tidying up a grave for Grandparent's parents. Grandparent was having a wonderful conversation with deceased parents. JM wandered off to look around further to see if others were also having similar conversations with the headstones. So JM started to read the gravestones..... and noticed several wee babies.
Grandparent realised that JM was confronted by this discovery of babies much younger than JM had already succumbed. JM's Grandparent then took JM to a number of graves and let JM read the markers there. In many instances wee babies were memoralised on a footstone, and a lady on a headstone, same grave, different time frames. different surnames, same religion. Grandparent explained to JM this was often done by the funeral directors and the clergy working together to make sure there was a mother figure there to protect the wee baby "until the end of time". From memory these were all pre WWI graves....
I have not ever followed that piece of oral history through to confirm or contradict. As an adult I have always considered it was simply a special way my Grandparent sorted out an issue for me on that cemetery visit.
Cheers, JM