Eeny, meeny, miny, moe — which can be spelled a number of ways—is a children's counting-out rhyme, used to select a person in games such as tag, or for selecting various other things.
It is one of a large group of similar rhymes in which the child who is pointed to by the chanter on the last syllable is chosen.
The rhyme has existed in various forms since well before 1820…
https://en.wikipedia.org/wiki/Eeny,_meeny,_miny,_moe
Q Drop 1820 attached, No. 119