What does Tita mean in Latin?

Tita, a proper noun, means “a feminine praenomen”.

What is the genitive of Tita?

The genitive singular is Titae. Tita is feminine, first declension.

In classical Latin, [ˈtɪ.ta]; in ecclesiastical (church) Latin, [ˈtiː.ta].

proper noun · femininefirst declension

Tita f (genitive Titae, masculine Titus)

Classical[ˈtɪ.ta]Ecclesiastical[ˈtiː.ta]

femininea feminine praenomen
SALVETOD TITACheers, Tita! (Such messages were sometimes inscribed on wine vessels intended for any social gathering or feast)c. 630 BCE – 620 BCE, AE-1991 396
𐌄𐌂𐌏𐌖𐌓𐌍𐌀𐌕𐌉𐌕𐌀𐌖𐌄𐌍𐌃𐌉𐌀𐌔𐌌𐌀𐌌𐌀𐌓[𐌂𐌏𐌔𐌌]𐌄𐌃𐌖𐌇𐌄[𐌂𐌄𐌃]I am the urn of Tita Vendia. Mamar[cus had m]e ma[de].c. 620–600 BCE, Tita Vendia vase (transliteration: Camps Felip, Júlia, Desinències nominals llatines arcaiques: anàlisi diacrònica des del protoindoeuropeu i fonts (bachelor thesis), page 14):