Boys of Wexford, The, and Scotland the Brave
I learned this medley from Len and Su MacEachron, who were the owners of the musical kit company that I used to hang out at when I was in college. They played this on lap and hammered dulcimer, as do I usually. I put this up hoping to have someone identify the first tune for me, and the banjo hangout crowd came through. It all became clear once it was cleared for me.