Sorry, John, no help from me. I found no trace of Der Wasserfall in my books, nor did I find any trace of a German precursor to Green Hills of Tyrol (you never can be sure of that, for most older German books only have indexes of first lines and how should I know what the first line could be in German). Perhaps someone else comes up with more information in the other thread (Scottish soldier). Tyrol, I know know, might well have been a part of Bavaria at the time of the writing of this song. It isn't now. I hope you'll get a response, for I'm most curious by now.

Wolfgang