A curious and not uncommon name here is Expósito that was the name given long time ago to orphan
or abandoned children.
Also in Itay Esposito was used for abandonned children: the reason was that they were usually left somewhere near a church - we call this 'esporre' = to put out .
There are also other names :
Proietti ( from latin , thown away)
Innocenti (obvious)
Diodati (given by God)
Diotallevi ( let God grow you).

Emanuela