What is this tune from The Lucy Show and Sooper Goop?

Cafe Society
1

In Season 5 Episode 3 of The Lucy Show, “Lucy the Bean Queen” (1966), Ed Begley (Sr.) sings a jingle about a fictitious brand of beans. You can listen to it at the 6:15 mark, here: The Lucy Show |TV-1966| LUCY AND THE BEAN QUEEN |S5E3 - YouTube

The same tune is used in the animated film Sooper Goop (1976) as a jingle for a fictitious brand of cereal. You can hear it at the 1:10 mark, here (make sure that Dailymotion is not muted): https://www.dailymotion.com/video/xem0tb

Can someone please identify this tune? It sounds like some kind of children’s song/nursery rhyme, but I can’t quite place it.

2

My Pony Boy, a hit from the first decade of last century. (Usually called just “Pony Boy” now.)

3

Solved! By Jove, that was fast!

I had never heard the original title or lyrics, only the tune. (I have, however, heard other songs sung by Ada Jones.)

Thanks, Hatchie!

4

Also used by Pat Paulsen for his “Hobby Hot” jingle (on the Smothers Brothers show).

“Hobby hut, hobby hut, you can be a hobby nut.”… etc.