consist of one or more given names
and family name
Italian given names were traditionally derived from those used by famous saints. See European names. Among some Italians it is customary to name the first son after the father's father, the first daughter after the father's mother, the second son after the mother's father, and the second daughter after the mother's mother.
The word name in Italian is nome.
On this site
List of Italian names and meanings
http://gens.labo.net/it/nomi/ in Italian
http://www.gate2000.com/extra/nomi.htm in Italian
http://www.rulla.com/origine_dei_nomi.htm in Italian