Um, yeah. Google something along the lines of “billing unwed fathers for the cost of Medicaid”, and there should be a variety of articles, considering I’m having trouble posting links.
One is an interesting discussion forum that starts with a question from a man who wants to know can he be billed for expenses like Medicaid, his baby momma doesn’t want to work, he has assets, etc.
Marriage, per one legal decision that should be accessible in the search, abates his bill for Medicaid. However, those unwed and not living in the same household with these moms can still be billed for the expense of the state providing her insurance.