I learned about this from Alton Brown, and finally listened to it yesterday. It's
Arctic Outpost Radio. From the website: Spinning the 78's from the top of the world. Playing great shellacs from 1902-1958. Big Band, Jazz, Swing, Vintage Country, and Blues. As always, completely commercial free. I don't know any of the songs, but it's still entertaining. If anything else, it makes great background noise.
ETA: I have since heard the Woody Woodpecker Song, as well as what seems to be the original version of One Bourbon, One Scotch, and One Beer.