Mt. Carmel was also the place in Israel where God showed his superiority over the Canaanite god Baal. God, at the request of Elijah the prophet, rained down fire that burnt up an altar laden with a water-soaked sacrifice. His demonstration turned the hearts of the people back to Himself.
The original use of 'Carmel' is actually for boys. Even though now it is most associated with women (like the names Avery and Taylor etc.) this is very much a male name.