Hello. My mother is from the Cina family. I don't believe that there are any ties to the Cinas from Dr Arroyo Nuevo Leon Mexico. Perhaps it is another branch of the family tree. Our family came to the New York area of the US from Bivona, Sicily. Common names in our Cina family are Salvatore, Vincent, Joseph, Rosalie, and Maria.
Happy Thanksgiving.
Martin DeBenedetto