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This girl desperately needs professional help. Her behaviour is NOT normal. It's not merely irritating: it's sick. She sounds as if she is barely aware of what she does. This could be incipient schizophrenia or a personality disorder. Healthy girls don't use blood-stained rags for their periods! Please, get some help for her NOW.
And since when can a 13-year-old mother take care of a mentally ill 16-year-old? That's how big the age gap between you is. This just does not add up.