Origin: English, Latin Romanian, Irish
Meaning: In English, fane is a word name, an archaic term for a temple or a church or a shrine from Latin fanum (temple, sanctuary). Fane is also an English surname from Middle English fein or fayn meaning "glad, joyful" or "well-disposed", likely originating as a nickname for someone who was cheerful.
Fane is also a Romanian diminutive of Ștefan, the Romanian form of Stephen meaning "crown, wreath" and, more literally, "that which surrounds or encompasses" from Greek.
Fane is also the name of a river in Ireland but I couldn't find a meaning for it in Irish.