Hello. I agree, researching the Cordy family is no easy endeavor. I have no family members that I know of that are from Ohio. In the early 1900s, several family members left Gloucestershire, England, and went to Globe, Arizona, via Baltimore, Maryland. Three brothers, Archibald, Alfred and Harry Cordy, and their families were the primary immigrants.
Good luck with your research and let me know if anything looks familiar.