The headgear applied to control a horse is known as a bridle. Hence Baglamukhi usually means the Goddess who's got the ability to control and paralyze the enemies. Resulting from her capturing and paralyzing powers She is also referred to as Devi of Stambhana (स्तम्भन). Third story is related to https://wildbookmarks.com/story19015842/getting-my-baglamukhi-sadhna-to-work