I've no idea which song Stephen is looking for. Neither verse nor refrain he gives ring any bells. Don't know 'Meine Heimat ist Tirol' either.

I do know 'Peters Brünnele', though, which doesn't seem to be from Tyrol but from Steiermark, another Austrian state. It's fairly well known in Germany and turns up in a very popular songbook, 'Die Mundorgel'. It is sometimes done with actions like clapping (your hands), slapping (your thighs) and snapping (your fingers).

Ask me again when you're looking for a song from the north - I might be more help there.