I can't identify from your picture alone, but all of Ohio's surface geology and exposures are sedimentary. Ohio has basement rocks of both Igneous and metamorphic types but they're thousands of feet underground. The only way we know they exist is from deep well drilling.
Anything igneous or metamorphic will have been glacially (or glacial meltwater) moved from Canada, and can be found in small deposits of gravel or pebbles and cobbles, up to boulder-sized isolated erratics.
There are literally thousands of tons of granite rip-rap along the banks of the Arkansas River Navigation System.Rocks like that one are pretty common to find there if you,re looking for them.My understanding is that most of the rock along the Lower sections of the River are crushed Granite from a quarry on the South edge of Little Rock where some low mountains or hills interrupt the mostly delta and lowland topography.I know absolutely nothing about geology or the makeup of the underlying strata so that,s all I got. Also more finely crushed Granite from these same quarries is used as gravel on country roads and as railroad ballast in the place of older clay gravel or washed river rock.This rock is referred to in local slang as SB-2,blue rock or Chat.