This goddess is called 妙音天女 or 辩才天女 in China，and Benzaiten (弁才天, 弁財天) is the Japanese name for the Hindu goddess Saraswati. Benzaiten is the Goddess of everything that flows: Water, Words, Speech, Eloquence, Music and by extension, Knowledge. This photo is from a role in Beijing Opera
Benzaiten (弁才天, 弁財天) is the Japanese name for the Hindu Goddess Saraswati. Worship of Benzaiten arrived in Japan during the 6th through 8th centuries, mainly via the Chinese translations of the Sutra of Golden Light, which has a section devoted to her. She is also mentioned in the Lotus Sutra and often depicted holding a biwa, a traditional Japanese lute. Benzaiten is the goddess of everything that flows: water, words, speech, eloquence, music and by extension knowledge.
"Dhumavati –her name means "the smoky one"- is also called "the widow". In traditional India, especially in the higher castes, there was no "more inauspicious form of the feminine. In a culture where status for women is given by the husband, widowhood is the worst thing that can happen to a woman." From "Awakening Shakti" by Sally Kempton