Ohio Rev. Code Ann. § 3941.24

No domestic, foreign, or alien mutual company may transact business in this state if its name is so similar to any name already in use by any company organized or doing business in the United States as to be confusing or misleading to the public, unless the company whose name is so similar consents thereto. The superintendent of insurance and the secretary of state shall determine all questions respecting such similarity of names, and if they fail to agree, the attorney general shall determine whether any proposed name may be adopted or used.