As an individual, you have every right to stick to your principles. But the moment you gave birth, you gave up that right in exchange for the responsibility of caring for another human being.
So becoming a parent means you should no longer have principles?
I think what you are trying to suggest is that in this case one principle (making sure her child is well provided for) should trump another (not seeking state involvement). Not that she shouldn't stick to her principles in general.
I understand and can relate - I didn't want state involvement in my divorce either. But then ex-husband decided to be a douche and not follow our agreements. Meanwhile I'm barely scraping by. That's when I decided to sue for child support.