I came across this song reprinted, in all places, in an old medical journal among regular serious articles.I don't have any details but I know that it was the Permanente Journal circa 1950. I have access to a collection of these journals, but they are fifty miles away. I can tell you that I have read the words. It was presented as a poem, though, not a song.
I do get in there from time to time and may be able to locate it.
Sourdough