My Badami family is also from Baucina Sicily. My grandfather was Paul, his brother was Dominic, his father was Giovanni and his mother was Vincenza. We visited Baucina last year. You can look in their record books if you have names and dates. They will also give you a birth certificate. They do not speak English, but my husband's Italian was good enough to communicate what we were looking for. They have a great festival of Santa Fortunata the 2nd weekend of September.