Dear Carol Frantz,
Thank you for posting your question to history hub.
The Federal Government does not ordinarily create or maintain birth, adoption, death, marriage or divorce records. Such records are made and kept by State and local governments rather than the National Archives. We suggest searching substitute record sources such as probate records, church records, and newspaper records that may uncover more information about your ancestor.
If you haven't done so already, check out this helpful resource pertaining to researching Naturalization Records (https://www.archives.gov/research/immigration/naturalization ). Naturalization records in the holdings of the National Archives are limited but there is an index of Naturalization records for the State of Connecticut which can be found here.
More information on that series can be found here: https://catalog.archives.gov/id/4498967 .
We hope this information is helpful. Best of luck with your research!