She doesn't seem to refer to anyone other than herself by name and creates nicknames for people she meets. She is unable to recognize that Ragna, the "good-guy", and "Rawgnya", the criminal, are the same person, though there are times she seems to know but doesn't care. Interesting to note is the fact that the Kaka tribe, which she hails from, is actually genetically engineered from the genes of the original Grimalkin (the name that refers to the species of the Kaka tribe), Jubei, one of the Six Heroes. As a clan, they are copies of each other, and cannot reproduce above one hundred members.
In the fourth-wall breaking mini-series, "Teach Me, Miss Litchi!" (which is not canon), Taokaka is studying under Litchi in order to become a great vigilante.
In BlazBlue: Continuum Shift, while taking a nap, Taokaka sees Ragna fall to her village (after being wounded by Nirvana). She manages to defend Ragna from Arakune's assault and goes to fetch Litchi to heal him. Ragna leaves shortly after recovering and Tao follows after, although she ends up encountering a brainwashed Noel and Hazama. She is thoroughly beaten by Hazama, although Jubei manages to save her and brings her back to the village. Realizing that she has a lot of training to do, Tao leaves in order to get stronger while allowing her sister Torakaka to be the village guardian in her absence. She manages to catch Ragna as he leaves Kagutsuchi for Ikaruga as Jubei told her to keep an eye on him.