I don't have any Croci records from that time, but I have a lot of Giliotti records back to the 1600's. Do you have a Mormon church history center near you? I don't know where you live, but if there's a center nearby sometimes you can order recordson microfilm. I've been able to find records from Belforte's church going back into the 1600's, and there's a Giliotti on nearly every page. It was written in Latin, but the information was extremely helpful.
I look forward to hearing from you when you get more records.