Second version of the song?

When Old Iron Pants (Mildred Natwick) has had a few drinks too many in the back of the wagon, she begins singing the theme song except the lyrics are "She Wore a Yellow Garter". She's interrupted and never finishes. One thing about the military - there may be one song for civilian consumption and yet another with, shall we say, saltier lyrics for use by the soldiers.

I have no idea how old this song really is, but (assuming there is a second version) can someone point me to the version that Mildred Natwick began to sing? Thanks.

EDIT: I did some googling and found the answer to my own question - there are actually several stanzas to this song. They get progressively racier (at least by 1950 standards) and ends up in a shotgun wedding.