It appears to be an orthoconic cephalopod, often termed "Orthoceras." In other words, it appears to be a nautiloid with a straight, rather than coiled, shell.
Not a turtle tail. These cephalopods are paleozoic, and they pre-date turtles.
Harry is right. I live in SW Ohio and such fossils are common here. I often find trilobite fossils in association with them as they feed on trilobites.