I have just read this thread through, very attentively I hope, but no one seems to have mentioned
Inchworm, inchworm, measuring the marigolds
The other part went
Two and two are four, four and four are eight....
It was a favourite in our house.
Nearly all the others were on a cassette tape that my kids nearly wore out listening to, and have now made it a favourite with their own children.
It's called All Aboard and has Nellie the Elephant, Arthur Askey's Bee Song, the Hippopotamus song (mud, mud, glorious mud), the old Lady who swallowed a fly, Terry Scott 's My Brother, Robin Hood, Robin Hood Riding Through the Glen and many others on it.