Here is the list of the Ohio lighting laws. The section on marker lamps only specifies rules for various commercial vehicles, tractors, travel trailers, motor homes, etc.
The section which just says "Parking Lights" only says they must provide adequate illumination and the lights must meet SAE standards.
The turn signal being visible from the side seems covered by the rear turn signal.
According to that site it doesn't seem that you need the side marker light. I will check around some more though just for my own curiosity.
Edit: I found a summery of the lighting requirements for passing vehicle inspection in Ohio and all it mentioned was turn signals (including being visible from the side, which the rear light on the Wrangler covers), headlights, tail lights, brake lights, and license plate illumination light. It talked about the required color, number, spacing and mounting location of each of these lights, but there was nothing about side marker lights.
It did say that all commercial busses, trucks, tractors, trailers, semi-trailers, and pole trailers shall have marker lights, clearance lights and reflectors in accordance with the revised code (the code is listed in the site I showed above). There was nothing saying any of these were required on passenger vehicles.