Where does “Balearis” come from?

Balearis (Latin) comes from Ancient Greek Βαλλιαρεῖς, from Ancient Greek βάλλω, from Proto-Hellenic *gʷəlnō.

Ancestry of “Balearis”, step by step

Step	Language	Word	Meaning
1	Ancient Greek	Βαλλιαρεῖς	—
2	Ancient Greek	βάλλω	I throw, cast, hurl; I let fall; I strike, touch
3	Proto-Hellenic	*gʷəlnō	—