I actually started a thread on children's street games a few weeks ago, here: Lyr Add: Miss Mary Mack and Miss L. Several people posted their own reminisces of these songs and others, and included several links.

Personally, I'm with Sorcha -- I have serious doubts that Liz Phar or any one person wrote this song, especially for money. I learned it in the early '70's from other 7 year-olds while riding to school on the bus - with much smirking and snickering at the lyrics. I doubt that that was a crowd that would be picking up the song from a record they bought.