School districts for Ohio County are a bit of a mystery. Helen Keown found the 1918 districts published in the local paper. It would be fun if we can find more of these.
It appears that most of the schools shown are "ungraded schools" and we can assume these were the typical one-room schools where all "grades" met together. It looks like in 1918 there were 106 "ungraded schools" in the county; these include some small communities that I have never heard of, for example, New Oklahoma, Tanglewood, and Sarvis Hill. Note that the "Graded Schools" are located in the six largest towns.