I'm pasting a bit of the info linked to by kenny above, to the slowplayers site.

It says the tune was credited on a Steeleye Span CD as having been written by Davey Arthur but that Paddy O'Brien liked the tune but not the name so he called it "The Howling Wind". Meanwhile, the Scottish dancers tend to refer to it as The Glasgow Reel, but the info below says that Davey Arthur was originally from Edinburgh. Go figure! LOL A rose - or tune - by any other name would smell - or sound - as sweet.


The Glasgow Reel (Daeol)
By Eddie | Published May 6, 2014

“The Glasgow Reel” is more often called “Tam Lin” around KC and some other environs. It has been set in Daeol, Eaeol, and Aaeol, primarily. It is often heard in sessions played first in Daeol, then in Aaeol for a variation — and I have both here. Dublin musician Davey Arthur (originally from Edinburgh, Scotland) is credited, on Steeleye Span’s CD Time (1996), with writing this tune. Paddy O’Brien (b. 1945) liked the tune, but not the name “Tam Lin,” so he played a version in Daeol, as I have it here first, but he called it “The Howling Wind.” ........... [snip]

Currently the melody of “Tam Lin” is played for Irish step-dancing competitions, and has been recorded for step dance practice (and canned competition music) by piano-accordion player Pat King. Fèis musicians tend to refer to this tune as “The Glasgow Reel,” and dancers tend love it .............. [snip] This tune was recorded the Furey Brothers as “Tam Lin, Prince of Pipers” on the album Emigrant (Polydor, 1977), the first album in which the group was named “The Furey Brothers and Davey Arthur.”

Tam Lin has suddenly - well, to me it seems sudden - appeared in our session group. At a pub session last Sunday, about 20 musicians were playing it with great gusto, and I was completely blown away. What a great tune!

That's why I found this thread - via Google which is unusual, because usually I would just search for a tune here on the forum search.