Some of the above running songs or marching songs (Jodies) I'd heard and sung (with minor adaptations) while in Marine Corps Boot Camp. Some of the ones we sang are not anything I'd like anyone's 10 year-old daughter to read - so I won't print them here.

There was one, however (a running song) that I learned at a school following boot camp. It was quite unique:

Saw an old lady walking down the street.
She had tanks on her back and fins on her feet.
I said "hey old lady, now where you been?'
She said 'To SCUBA school, but I'm goin' again'.

I said, "Hey, old lady, now you're too old;
You better leave that stuff to the brave and the bold'
She said, "Up yours, Jarhead, now can't you see;
I teach SCUBA for the UDT'.