This was one that I first heard on Captain Kangaroo! Bob Keeshan must have had a penchant for songs from that era, because I can remember many of them from his show. Of course as a child I didn't know these were old popular songs from long ago: "A Lonely Little Petunia in an Onion Patch", "Mr. Touchdown", "My Little Playmate", "School Days, School Days", etc.

Aloha,
Mark