I just stumbled across your post written several years ago and hope that you will run across mine!
I am also related to the Berutto-Caretto family of Bisbee, Arizona. My grandfather was James Berutto who was born in Bisbee. His parents and most, if not all, of his siblings were born in Alicia Superiore in the Piemonte region of Italy. One of his sisters may have been born at sea while the family was immigrating.
My sister-in-law recently found an article in a 1921 edition of the "Tombstone Epitaph" which highlighted a singing recital of Baptiste Berutto and a Miss Caretto.