I have attached a page from familysearch.org. You need an account but it is free. There are some links on the page that fit to your relative. If you have any trouble, let me know. BTW, I am just a volunteer.
Dear Ms. Roccia,
Thank you for posting your request on History Hub!
We suggest that you search the Italian State Archives and Italy Archives and Libraries Genealogy websites for tips on how to conduct research about Antonio Biancardi’s life in Italy before he emigrated to the United States.
We hope this is helpful. Best of luck with your family research!
Not sure IF this would be your grandmother - but I will try to put an image file in for your review.
Otherwise - Have a Petition For Naturalization in New Haven Co., Waterbury, Connecticut for
Rose Porcaro (NOTE - she emigrated to the United States from Naples, Italy (last resided in Voltorino, Naples, Italy) - arriving at New York, NY under the name Maria Rosa Melillo - on June 18,1912 on the SS Oceania. Declared intent to become U. S. Citizen on April 18, 1940 in the Common Pleas Court of Waterbury, Conn. Other info - current residence 61 Norman St., Waterbury, Conn. - housewife - born September 8, 1895 in Voltorino, Naples, Italy. Married Pasquale on Oct. 6, 1912 in Waterbury, Conn. Children Antonio (7/4/1913) - Eleanora (9/24/1922) Michele (11/24/1914) - Pasquale (1/2/1933) - Filomena and Calandra (twins -3/13/1917 and Juliet (11/20/1918) - all born in Waterbury, Conn.
please message me maybe I can help.