It's not the " Kind Friends and Companions" one which Sheila Stewart used to sing? According to the thread on "the other Parting Glass", the Chieftains also recorded it.

Or "When First we Met" by Alan Bell?(variously wrongly described as a Scottish or Irish song - it's English!).

Or "Auld Lang Syne" to the older tune?

Or Iain Sinclair's "Tak a dram afore ye go"?

Also try looking through the other Parting Glass threads that are on here.