Anyone offer any insight on the tune - Jane McWilliams about a mother who drowns her child?

Jane McWilliams it is my name I have brought myself for to sin and shame for the murdering of my baby dear there was never a mother so severe

SOMEONE ELSE SURELY HAD A GRANNY THAT SANG THIS DITTY TO THEM AS A GOODNIGHT LULLABY!!!!!

Thanks for any help - Rois