How can i find out if my great grandmother was naturalized by being married to my great grandfather when he naturalized. Or if she did it on her own. GENOEFFA SACCOMANDO A2364555. She was born in Sicily in 1900 and came over through NY 11/4/1914.

Here's an essay about "Women and Naturalization" that should answer whether she would have derivative citizenship.  https://www.archives.gov/publications/prologue/1998/summer/women-and-naturalization-1.html

When did they get married?  Was your great grandfather born in the U.S.?  If not, when or if did he become naturalized?  Do you have his naturalization documents?  If you want the research committee to help, her name, birth place and date, etc. would be helpful.  Otherwise you will get generic responses.

She was born Santo Stefano DiCam-mastra, Sicily feb 9 1900. Ignazio Saccomando born. Aug 10 1891. Married in italy. Don't have his naturalization records. 

She was born Santo Stefano DiCam-mastra, Sicily feb 9 1900. Ignazio Saccomando born. Aug 10 1891. Married in italy. Don't have his naturalization records.