From summer camps in Victoria (Australia) in the '40s the song was always called (from its first line) "My girl's a corker, she's a bushwalker." Almost all the versions were much as described in the thread above but I suspect the tune is different because it always was sung with a chorus that seems not to scan but then, I cant't read music let alone write it. Other Australian contributors who can read and write will probably help you out though. The following couplet made up the opening lines to each verse;

"My girl's a corker, she's a bushwalker,
I buy her everything to keep her in style."

Then the various contributions such as
"She has two lovely hips, just like two battleships,"
with each verse concluded by the line
"That's where all my money goes."

And always the Chorus
Oompah, oompah, oompah pah!
Oompah, oompah, oompah pah!