Smith’s Bible Dictionary

“Bethaven ” means house of nothingness , i.e. of idols

Bethaven : a place on the mountains of Benjamin, east of Bethel, (Joshua 7:2; 18:12) and lying between that place and Michmash. (1 Samuel 13:5; 14:28) In (Hosea 4:15; 5:8; 10:5) the name is transferred to the neighboring Bethel, --once the "house of God" but then the house of idols of "naught."