The mosque is named after Bawaman (or Bava Man), who was revered as a saint in Baroda. Bawaman was a follower of Sadan Shah, whose tomb is enshrined within the Kalika Mata Temple at the summit of Pavagadh Hill, which is also within the Archaeological Park. The mosque was built during the time of Mahmud Begada, as were several other masjids in the area, such as the Jama, Kevada, Ek Minar, Khajuri, Nagina, and Shahar Ki.