The gens is rarely mentioned in the Republican period, and did not rise out of obscurity till a very late time.
None of its members obtained the consulship under the Republic, and the first person of the name who held this office was Marcus Titius in BC 31.
However, it has been conjectured that it was introduced to Latin through Titus Tatius, a Sabine king in the time of Romulus, who came to Rome with many of his subjects.
[2][3][4] The Titii used a wide variety of praenomina, including Gaius, Quintus, Sextus, Lucius, Publius, Marcus, and Titus.
During the later years of the Republic, some of the Titii appear with the surnames Rufus, meaning "red" or "reddish", and Strabo, referring to one who squints.