The headgear used to manage a horse is called a bridle. Hence Baglamukhi usually means the Goddess that has the power to regulate and paralyze the enemies. Resulting from her capturing and paralyzing powers She is generally known as Devi of Stambhana (स्तम्भन). There is a tale concerning her manifestation. https://www.youtube.com/shorts/CT7LdpA1l6g