Your lacuna from the second song sounds to me like "She pisses three miles and a quarter," though it is tough to hear.

Devilcat Songs and a comment on the first youtube video note the tune as "My Bonnie." The Giffordmusic one sounds very reminiscent of Old Rosin the Beau. The Citico Band's one is close, but a bit more freely sung, so it's hard for me to positively ID.