In certain Puranas (like Skanda Purana) she is a girl of Shiva (Shivaanujaa) and in certain Tantras with Ganesha.

 Anyway across India, she is loved as the spouse of Lord Brahma. In the Devi Mahatyam, it specifies her as Brahmapatni. As per a few orders, Saraswati was conceived from the left body part of Vishnu when Vishnu was in his everlasting rest.