A piper & guitar player who used to come to a favorite open mic was fond of this tune. His understanding of the multiple names was that Howling Wind was the original name, that it was popular with a group called Tam Lin, and picked up that name from them popularizing the tune. The group was based in Glasgow, which also led to another naming of the tune, from folks who learned it in sessions. This made sense to me, though I have no idea if this is the actual route to the multiple names.

Joanne in Cleveland, where it gets called "Tam Lin Reel"