Are you assuming here that WIC, EBT's and every other sort of State-as-father-of-all stuff is 100% gone?
If she wants the father to help support raising the child and he refuses to sign the BC, then yes. If she doesn't want him involved and he doesn't petition to sign it, she's on her own.
Are you assuming here that WIC, EBT's and every other sort of State-as-father-of-all stuff is 100% gone?
That would be nice, but is irrelevant to this discussion on The State being extracted from marriage.