The earliest printed appearance of the parody posted by GUEST, 28 Feb 2024, is in the mimeo'd song book, "Mess Songs and Rhymes of the R.A.A.F. [Royal Australian Air Force]," produced at Milne Bay, New Guinea, in Sept., 1945.

In 1982, WW2 veteran J. S. Havener mentioned in a letter to Air Force song collector Bill Getz that he had heard the song in March, 1945, "from a fighter pilot on board a transport on the way home from the ETO [European Theater of Operations]."

So by the end of 1945, the parody was known to airmen from New Guinea to New York.