The first tune is Little Brown Jug, a perennially popular American tune/song first published in 1869. It was a popular children's song when I was a kid, though with simpler lyrics (but different from those on the Wikipedia link), and back then I didn't understand that it was supposed to be about alcoholic beverages.
Thanks. Its good to know that it has a name. I just listened to a big-band swing version of Little Brown Jug on youtube - compared to the guitar, fiddle and lagaphone version from my childhood its from a different planet!