The answer from my previous post is:
And here’s another page that gives more details about it.
One interesting bit of trivia from the above article is that although this was originally show produced in London, it was picked up by the Captain Kangaroo show and narrated by Captain Kangaroo.
Here’s a video of the show that I found:
Funny thing is that the song they sing on the video doesn’t have the exact same words that I remembered…
(BTW, I showed the video to my boys, but they were not very impressed.)