The name Venetia is a girl's name of Italian origin. Venetia and is often added to lists like Best One-of-a-Kind Names for Girls and discussed in our forums with posts like "Girls Makeover - Two Middles".
From the experts:
Venetia, the name of the region encompassing Venice, has a radiant, picturesque authenticity, as do the related Venezia and Venice.
Venetia is the title of a novel by Benjamin Disraeli centering on the character Venetia Herbert, and Venetia Anastasia Stanley was a famous seventeenth century beauty.
Verona is another pretty Italian place name possibility.