This is a two-year-old thread so I'm not sure you're still on to any of this, but in case:
Guiseppe Batista Natale was my great-great-grandfather on my mother's side. Her mother was Natalie Wilkins Adams. Interestingly, my mother tells the story of how she and her brother and mother went to live with a relative (an aunt?), last name Wier, in La Jolla, CA shortly after her father (Oliver Adams Sr) died. Would have been some time around 1932 or 1933 I believe. I believe they were there less than a year before returning to Mobile, AL.
I may have among many papers some additional info on the Batista Natale line. Are you still interested? Would be interested in anything you may have come up with as well.