I hope that you get this message. We have the same great grandfather. My grand-father was Isidoro Giovanni Raphaelo. He dropped the Isidoro when he left he Carabinieri. In the US his legal name was John Ralph Morelli. But because he was a half-brother of Giovanni Morelli, already in Albuquerque, he went by Ralph. He had three children. Gina, Emma and Frank. I am Emma's younger son. Ralph came to the US around 1907-8 and then went back to marry Maria Pasquarosa Gragnani. She lived in Ponte a Moriano which is just a few kilometers north of Lucca and northwest of Capannori where Ralph lived. In our family we knew of your grandmother as Aunt Sadie. The Annunziata name may have been associated with the time of year of her birth. Annunziata means Annunciation and is a Catholic Feast Day around March 25. My grandmother's middle name of Pasquarosa means Rose of Easter.
I hope this helps and would like to correspond with you.