Here is car carry in Ohio, from Packing.org
Individuals with a license to carry a concealed handgun may transport a loaded handgun if:
The loaded handgun is in a holster on the person’s person.
The loaded handgun is in a closed case, bag, box, or other container that is in plain sight and that has a lid, a cover, or a closing mechanism with a zipper, snap, or buckle, which lid, cover, or closing mechanism must be opened for a person to gain access to the handgun.
The loaded handgun is securely encased by being stored in a closed, locked glove compartment or in a case that is locked.
The most significant change to Ohio Law from HB347 is that you no longer “must” carry your firearm in the vague definition of “plain sight”. However, it is important to understand that any time a firearm is not locked up it must be on your person and in a holster. You may not jam it in between your seat and center console, nor may you store it on your dash. Openly carrying a loaded handgun in a vehicle requires a concealed handgun license.