Meaning of the counting rhyme "Eenie Meenie Miney Moe"
It seems to mean "One, two, three four", as stated here:
One major theory about the origins of the rhyme is that it is descended from Old English or Celtic counting, as can be seen in the East Anglian Shepherd's count, "Ina, mina, tehra, methera" or the Cornish "Eena, mea, mona, mite".
from a Wikipedia article. I'm aware, that Wiki isn't considered a very reliable source around here, but this theory seems to be legitimate