Ohio Rev. Code § 951.02: Animals running at large on public roads - grazing on another's land.

No person, who is the owner or keeper of horses, mules, cattle, bison, sheep, goats, swine, llamas, alpacas, or poultry, shall permit them to run at large in the public road, highway, street, lane, or alley, or upon unenclosed land, or cause the animals to be herded, kept, or detained for the purpose of grazing on premises other than those owned or lawfully occupied by the owner or keeper of the animals.