Devi Bagala is definitely the deity of Bagalamukhi Mantra. She is also called 'Valgamukhi'. 'Bagala' or 'Vagla' basically means a 'rope' or even a 'bridle' – that is definitely put during the mouth to control the actions of tongue - and 'mukhi' implies 'faced'. She could be the super energy https://www.youtube.com/watch?v=CQDKEh9UjJA