Qantas has regular flights from UK to America, but you need to be more specific, that is, which city or town in the UK you want to fly from. Some arlines may require you to make multiple stops if the airlines do not have direct flights from international city to another international city.
Yeah! the question should be specific so that you can have an specific answer. Anyway, I think Skyscanner can also take you in OHIO with promo's. Well, good luck on your trip...