None of the links given earlier in this thread worked for me, but I still get the impression that we are not talking about the tune "The Green Hills of Tyrol" that *I* know. This is a popular reel in Irish music circles, and is given in Henrik Norbeck's ABC collection as follows:

X: 1
T:Green Hills of Tyrol, The
T:Tripping down the Stairs
R:reel
Z:id:hn-reel-124
M:C|
K:G
BG~G2 BGAc|BGDC B,CDC|B,G,B,D ECEG|FDEF GFGA|
BGGF ~G3A|BGDC B,CDC|~B,3D ~E3G|1 FDEF G2GA:|2 FDEF G2ga||
|:bg~g2 egde|cdBc ABGA|FGEF DECD|B,CA,B, G,A,B,D|
GABc dBGB|ABcA BGDC|B,G,B,D ECEG|1 FDEF G2ga:|2 FDEF G2GA||
"variations"
|:BGGF ~G3c|BGDC B,EDC|B,G,B,D ~E3G|FDAF GFGA|
BGGF ~G3A|B2dB BAGD|~B,3D E2CE|1 FDEF G2GA:|2 FDEF G2ga||
|:bg~g2 egdg|caBg AfGe|FdEc DBCA|B,GA,F G,A,B,D|
GABc dBGB|ABcA BGDC|B,G,B,D ECEG|1 FDEF G2ga:|2 FDEF G2GA||


Don