The name Tullia is a girl's name of Irish, Latin origin. Tullia and is often added to lists like Cool Girl Names from Ancient Cultures and discussed in our forums with posts like "Heaven/Hell/Purgatory -- All Girls Edition!".
From the experts:
The unusual and intriguing Tullia has been used since Roman times as a feminine of the illustrious family name Tullius, as in philosopher Marcus Tullius Cicero. Modern parents who like Tallulah or Lillia but want something even more unusual would do well to consider the nearly-unknown Tullia, which may also be varied to Tulia, rhyming with Julia.
Tullia may be shortened to Tully, more properly an Irish surname with a range of possible meanings.