The name Basil (royal, kingly) comes from the male Greek name Vassilios (Greek: Βασίλειος, female version Bασιλεία), which first appeared during the Hellenistic period. It is derived from "basileus" (Greek: βασιλεύς), a Greek word of pre-Hellenic origin, meaning "king", from which words such as basilica and basilisk (via Latin) as well as the eponymous herb basil (via Old French) derive, and the name of the Italian region Basilicata, which had been long under the rule of the Byzantine Emperor (also called basileus).
https://en.wikipedia.org/wiki/Basil_(name)