I second the notion of calling your game department or wildlife officer, most likely it will be included in your hunting regs.
On a side note, there's no closed seaosn on coyotes in Ohio, even during deer gun season. The only exceptions are that the hours are the same as deer gun season, weapons and ammunition must be legal for deer, must posses all valid licenses and stamps for deer gun season, and must comply with hunter orange requirements. In other words, you have to obey all the deer gun season regulations, but you're allowed to shoot a coyote if you want.
Brandan
Ohio seasons and bag limits