If you read through all the postings on D'Ambra you will find more details on your G/G mother
Her father was Luigi D'Ambra b. Lipari 17 Nov 1846.
Luigi immigrated to Providence R.I. USA on the Dalmatia from Naples arriving in NY 28 May 1896, with his children Maria and Michelangelo. Ellis Island records Page 083, Manifest number 0607. No mention of spouse.
She married Giovanni Giuseppe (known as JJ) at the end of 1896. If you know the exact date, I would appreciate it.