Ohio, car sale between private citizens:
If you're selling your car to someone you'll need to fill out the back of the title form.
Wait to do so until the vehicle has been sold.
Make sure you record the sales price and odometer reading.
then sign your name as listed on the title, and have your signature notarized.
It's a good idea to make a copy of the assigned title for your records.
DID YOU DO THOSE THINGS?
If you buy a car from someone you complete the information on the title form.
Your signature must be witnessed by a Notary Public, and notarized.
Remember, as the buyer you're responsible for obtaining the title from the seller.
Your Ohio BMV will provide you THE SELLER a copy of the Ohio state title transfer application to assist in properly conveying title.
If you have a copy of the purchase order or bill of sale, that might be accepted by the authority issuing the parking citations to see that the rightful owner gets the bill for the parking citations.
If they accept such proof, it'll only be as a courtesy, because the name on title, until properly transferred is also on the hook for the tickets.
Whatever you do, don't do nothing.
If the tickets aren't dismissed or paid, the name on title will eventually lose his or her license.