Another song that lists many tunes is in Colm O Lochlainn's Irish Street Ballads, THE PIPER'S TUNES. It is sung to the same tune as COURTIN' IN THE KITCHEN.
There are eleven verses of THE PIPER'S TUNES in O Lochlainn's book. I'll check and see if it is already in the DT or archive before posting them.
Alice Flynn