I used to know another one too. This was a song sung to a clapping game

"Under the bamboo under the tree true love for you true love for me ( that’s all I can remember, it was over 50 years ago!! )

here it is from the net. https://babyrhymes.com/kids-songs/under-the-bamboo-tree/

(i mean nothing by this post, it’s just a nursery rhyme, I remembered it because the same girl who taught me the giraffe song taught me that . )