For the Scotch lady, the parodied song is "Just Try to Picture Me Back Home in Tennessee" (1915), by William Jerome and Walter Donaldson.

https://digitalcommons.conncoll.edu/cgi/viewcontent.cgi?article=2519&context=sheetmusic

According to "Everybody's Magazine" (Oct., 1926), the parody was known during WW I to "Tommies, Yanks, and Anzacs."