Dear Mr. Knupp,
Thank you for posting your request on History Hub!
In general, naturalization was a two-step process* that took a minimum of five years. After residing in the United States for two years, an alien could file a "declaration of intention" ("first papers") to become a citizen. After three additional years, the alien could "petition for naturalization" (”second papers”). After the petition was granted, a certificate of citizenship was issued to the alien. These two steps did not have to take place in the same court.
If a naturalization took place in a Federal court in Ohio, naturalization indexes, declarations of intention (with any accompanying certificates of arrival), and petitions for naturalization will usually be in the National Archives at Chicago (RM-CH). No central index exists. To ensure a successful request with RM-CH via email at email@example.com, you should include the following: the name of petitioner (including known variants); date of birth; approximate date of entry to the US; approximate date of naturalization; where the individual was residing at the time of naturalization (city/county/state); and country of origin.
In most cases, the National Archives will not have a copy of the certificate of citizenship. Two copies of the certificate were created – one given to the petitioner as proof of citizenship, and after September 26, 1906, one forwarded to the Immigration and Naturalization Service (INS).
We hope this is helpful. Best of luck with your family research!