A friend has some tattered mimeographed sheets with hundreds of verses. Most of them wonderfully rude, crude or ribald. I will contact him and post when they arrive. In the meantime here are a few more. The first was the one I learned as child.

Many a cootie came over from France
In an undershirt and pair of pants

Oh, landlord, have you a daughter fair
To wash a soldier's underwear?

Oh, yes, I have a daughter fair
With lily-white hands and golden hair

She never could hold the love of a man,
For she took her baths in a talcum can.

Mademoiselle from Armentieres
You'll never get the the Croix de Guerre
If you never wash your underwear

Mademoiselle from Orleans,
She made me sell my Liberty Bonds

The French, they were a funny race,
They fight with their feet and save their face.

The cootie is the national bug of France
The cootie's found all over France,
No matter where you hang your pants

Our grease-ball is a goddam dirty bum,
He bails out swill and makes the slum