how can I find out if my great grandmother became a citizen of the US?

Her name was Salvatrice Scarlata, born on May 27th 1883 in Caltanissetta Sicliy, Italy.

I am Not sure what year she came to the United States. I am thinking she came in the early 1900"s.  She lived in Le Roy, New York.

Died in 1975 in Brant, New York. She married Antony Piazza.