Vibius is a Latin praenomen, or personal name, which was occasionally used throughout the period of the Roman Republic and perhaps into imperial times.
[1][2][4] Vibius appears to belong to that class of praenomina which was common to Latin, Oscan, and Umbrian.
Chase cites a number of examples, mostly from Oscan and Umbrian families, and clearly the name was more common in other parts of Italy than at Rome.
It may be that it arrived in Rome shortly after the founding of the city, since much of the early Roman populace was of Sabine origin.
Chase disposes of it after concluding that it was of Oscan origin, and cites no authorities on its possible meaning.