Joan F. wrote And the tune Irvine uses sounds a lot more like "Willie of Couglass or Douglass Dale" than "Fause Fooderage."

I believe you are correct. None of the tunes in Bronson looks exactly like the Irvine tune as I know it (though I learned it through at least two intermediaries, so it might have drifted :-), but I can see how to get there from "Willie o Douglas Dale," and I can't from "Fause Foodrage."