Ohio Rev. Code Ann. § 4965.53

For the purposes specified in this section, bicycles, with or without lanterns or toolboxes attached, are baggage, shall be transported as such for passengers by all railroad companies, and are subject to the same charges and liabilities as other baggage. No passenger shall be required to crate, cover, or otherwise protect a bicycle. Such companies are not required to transport more than one bicycle for a single person.