Dear Aldo Vallera,
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. [*Exceptions can include cases of derivative citizenship, processes for minor aliens 1824-1906, and special consideration for veterans.]
If a naturalization took place in a Federal court, naturalization indexes, declarations of intention (with any accompanying certificates of arrival), and petitions for naturalization will usually be in the National Archives facility serving the state in which the Federal court is located. No central index exists. To ensure a successful request with the National Archives, researchers should include: 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.
Citizenship applications to the United States and were sent to the Federal Courts have been Digitized onto Ancestry.com. Your local library may have free access to Ancestry.
We hope this is helpful. Best of luck with your research!
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Birthdate, country of birth/residence, state of residence in US, and etc.