If one is interested in Australian children's playground parodies of this and other songs (similar to the collections done by the Opies in UK) you could check out "Cinderella dressed in yella" (published in the late 60s?) and subsequent editions from Ian Turner and (from memory) June Factor. The copy I bought in the early 70s and annotated extensively with my own recollections got stolen some years ago but it and the subsequent additions/editions werey very extensive.

Cheers, Rowan