First, my son, tell me why you feel this handgun is "registered " to you?
Last time I looked, Ohio- like MOST of the US, does not have registration of firearms. When you bought the gun from a dealer, you completed a form 4473, which the DEALER retains for 20 years.
Now, you CAN sell directly to a resident of the same state you live in. If going to someone from another state, it must go to a dealer in their state. You can make up two copies of a bill of sale, ask for the buyer's ID, fill out both copies, sign one, give it to him, have him sign one that you keep. Just in case you are worried about someone looking for you in the future, you KNOW who you sold to.
You can also find a dealer that is willing to do a transfer (auction arms and gunbroker both have a "find a ffl tab". Contact dealer, see if he is willing to do this as a transfer. He sets his own fee- typically around $50. DO NOT sell a gun to anyone you have cause to believe cannot legally own a gun- minor, illegal alien, convicted felon, etc.
Link to Ohio gun laws: Ohio Gun Laws - What are the Gun Laws in Ohio