You may have made a list of words that sound like each other and like to go around in pairs [see Tittle Tattle, January 20th2021). That list will come in handy if you would like to compose a counting or a counting out rhyme.
Here’s one from the Caribbean:
Abna Babna Lady-Snee Ocean potion Sugar and tea Potato roast And English toast O-U-T and out goes she.
And this is one from England:
Onery, twoery, Ziccary zan, Hollow bone, crack-a-bone, Ninery, ten. Spit, spot, It must be done Twiddleum, twaddlum, Twenty-one.
That one may have started life as a shepherd’s counting rhyme. Children’s rhymes often include things that are happening around them There is probably a Cover rhyme somewhere already.
There is a lovely article about counting out rhymes on the British Library website:
There are some great videos of children using the rhymes, including some from the 1950s and one from Pakistan.