I am from New Zealand and was trying to find out where my Gran got this song from that she sang me as a babe! Wow, where she got if from i dont know and i have hunted before and couldn't find anything until now.
It went
Go to sleep my little Pikinini
Mummies going to smack you if you don't
Slumber in the bosom of your old Mamma Ginny
Mumma's little hunny bunny coon
I thought it was an old aboriginal lullaby from Australia. My Gran was born in NZ but her folks came from Scotland. I loved that song!