Old township school house in Pleasant Township.

This unnamed school doesn't appear in the 1894 county atlas, and it doesn't seem to be marked on any maps that cover the area - the few times it's on a map, and it's not consistently on maps that show dots/squares to indicate buildings.
The property record indicates it's an "elementary/secondary" school built in 1900, probably a placeholder date, but the design is correct for the early 1900s.

It might have been an elementary feeder or kindergarten like Moorefield West Side was for Northridge, but there's no other information I've found on this school.

Found these documents showing voting precinct- the first is from 1932 and has stars where county schools are located [Moorefield West Side, both Catawba schools, and several schoolhouses]. The second is modified/updated but uses the same basis as the first, and the Lundy Lane unknown school is marked as a township school as well.
I presume it would be on the 1932 map if it wasn't fragmented...
https://www.boe.ohio.gov/clark/candid...
https://www.boe.ohio.gov/clark/c/pdf/...
https://www.boe.ohio.gov/clark/c/pdf/...