When you’re searching for naturalization records, remember that 1906 is the “magic” date. The Naturalization Act of 1906 dramatically increased the level of detail found on a record and limited the number of courts in which one could be naturalized. Prior to that date, applicants could naturalize at any court. Earlier records do exist, but they often contain only the name and country (or kingdom) of origin and not the date and place of birth, spousal information, and more, often sought by genealogists. For that information, you generally are looking for a copy of a post-1906 declaration of intention.
Connecticut long ago signed a transfer agreement for naturalization records for the period after 1790. These records are transferred to the National Archives branch at Waltham, Massachusetts. Many have been digitized and can be accessed online. Use the FamilySearch wiki to locate the appropriate databases.
