I have a book of jodies at home which was given to me when I was in NROTC at the University of Washington in the early 1980's. PM me if you're interested in having me look at what's there and report back to you.

Here's one I learned from my ex-wife (not sure where she learned it, but both her father and mother were in the Marine Corps, her father in WW2):

I don't know but I've been told
Naked people ain't got no clothes
If they tried to put them on
Naked people would all be gone
Sound off (etc.)

Alex