[ she does sit, though she doesn't actually eat anything ]

Perhaps you're a conqueror. Your biography would indicate something like that is possible. Or perhaps, Fox Princess is simply a title and the biography is mostly irrelevant. Most seem to be, from what I've seen. Much like the names we're given, they're not untrue but they're also designed to elicit an emotion.

If I had to guess, whether or not your name is actually "Tamamo", I would say you're likely descended from the Tamamo being referred to. Though I may be extrapolating my own circumstances too much in that case.