http://www.thesession.org/tunes/display.php/248/download
Could anybody please tell me a way I could play this with a woodwind? Would Bb whistle work? Or would a D do, and move the low B part up an octave?
B minor fingering on an F whistle is the best choice for range and ease of fingering.
Second choice would be Em fingering on a C whistle, with some octave folding.
Not a wind-friendly tune anyway, IMO.
Sadly, a fiddle tune.
djm
yes, that is what I was thinking. It is a great fiddle tune. Thanks for the advice MTGuru.
I wouldn’t bother with it. It’s not worth the trouble unless you’re getting paid to play it and you need the money more than you need aesthetic principles.
There are literally thousands of great tunes for the whistle and or flute. The fact that Leahy, Celtic Women, or the rest of the big PBS Saint Patrick’s Day Selltic Extravaganzas haven’t ruined them for the rest of us yet is an added bonus.
“Don’t,” is a sensible option. There are thousands more interesting tunes that have more to them than a series of arpeggios that you can play on flutes and whistles. 
You can find a sheet music version here:
http://www.tinwhistler.com/index.aspx
Along the left of the page select “The Tunes”
Then select “Starting with T”
Then select “Tam Lin (Easy Whistle Version).”
Thanks for that Dapple. 
FYI, Tam Lin isn’t ITM. It’s a Scottish tune: the story of the ballad happens at Caterhaugh, just west of Selkirk, close to the meeting of Ettrick and Yarrow Waters, on the Duke of Buccleuch’s estate. You can still see Tam Lin’s Well.
(I was once under-gardener to the Duke of Buccleuch.)
b
Sorry, it’s “Carterhaugh”
b
The story of Tam Lin may well be Scottish, but the tune Tam Lin was written by Davey Arthur, the fiddler who plays often with the Furies, and dey be Irish, b’y.
djm