Back in the '80's our session group used to play South Wind and then straight into Give Me Your Hand (Tabhair Dom Do Lamh) which has an accidental, a natural F high note in the second part. We used to do it in the key of G Major.

I think that sometimes it helps to know when or where you heard the tune, because different regions of the world can have different preferences of which tune goes with which other tune in a set, or preferences change over time.

I think somehow we later switched to playing The Munster Cloak instead of Give Me Your Hand.

Now we have a set with South Wind, Fanny Power and Josephine's Waltz.