Steve & Joe,
That Youtube video was the "Little Dutch Girl" that I'm talking about. I've looked in the places you mention, but no luck so far. It is not the same as the hand clapping game or 'Ach du Liebe Augustin', both of which are familiar to me. Though, those guesses do make sense.
I've also talked with most of the old-time players here in the St. Louis area (and there are a lot of us!), but no one can remember the lyrics to either tune.
I will keep plugging away at it and will report back here if I ever find what I'm looking for.