again, each state's rules and eligibility is different according to how that individual state administers it's Medicaid program. But in general, all prenatal care is considered maternal care and insurance or medical bills are not accumulated until the infant is born. As Skittl1321 noted, enrollment deadlines determine what will and will not be covered.
As for my initial visceral reaction/judgement of what you reported your cousin's concerns and judgements, yes I had a deep reaction to the opening statements. For 33 years I worked with kids and many of those had congenital issues. I saw a great change in the treatment and outcomes when a potential problem is identified as soon as possible, even in utero. In days of pre-authorizations, repeated ultrasounds would need approval by insurance companies. Physicians, diagnostic centers and hospitals are very aware of this and do not want any non-covered procedures to be ordered. I did pre-auths in the last 18 months of my professional life, we did not do ANYTHING without pre-auth.
I had a huge gut punch, when you talked about soap opera, not that kind of family, nice home middle class neighborhood, these things only happen in lower socioeconomic families because I know you don't have to been in a low income, inner city, whatever to have an unplanned, accidental pregnancy. A father who you do not approve of, etc. Because I have a grandson as a result of a poorly thought out relationship, my son was unemployed at the time - a little angry about the situation he found himself in - and we are a "good family, middle class, nice neighborhood, never been in this situation before". Your cousin and your judgement of your cousin's daughter and baby daddy was very close to home. Unlike the baby daddy in your cousin's situation - we, the baby daddy parents, provide housing, food, etc for the mommy and daddy. Mommy rarely got up before 1 pm, expected me to do everything while i was working 50-55 hours a week. It happens to every socioeconomic level. And grandparents don't always approve of their adult children's relationships because we don't get to pick out their partners.
I reacted strongly to the working until you went into labor issue that you had, because I had a father in law who berated me for working through out the pregnancy up to labor. He did not realize that I had to for a variety of reasons. Would I have liked to stay at home until baby arrived? yeah, I was exhausted and ready to be done. But I had to for reasons I won't go into.
"dead-beat" daddy is probably experiencing some level of depression about the situation, that's normal in any post-birth situation for both parents. He's probably beating himself up and hearing everything from all sides. Should he feel bad, should he go out and meet everyone's expectations, probably. I'm not defending him, I am just stating what my son went through. But guess what - I thought my grandson's mommy should have done more too. We financially support her, even when she had moved out and separated from my son. She spent money on things that I thought she shouldn't have. It wasn't until the judge told she had to get a job that she did.
It is a heartbreaking process to fill out WIC, Medicaid, Title XX forms for assistance. I know - I sat with families, who were middle class good incomes, fill them out. They never expected to fill them out. It is not a failure. Again, I don't know Ohio but there could be day care assistance while your cousin's daughter is in school or working.
The reference to a "homemade gift" also hit hard - my sister gives homemade blankets, car seat covers, sweaters, jackets. To her it's better than store bought because she puts love in them.
And finally - the reason you started this thread was to ask about excessive ultrasounds and potential genetic defects. It appears from the comments and need for medication for kidney issues, that there was a reason for concern. I imagine many of us would have appreciated an update.
I would like to say that Baby Peyton will have parents that do exactly as your cousin wants. But it won't happen. I know, I wish a lot of things for my grandson that won't happen.
) husband from a less than decent family, was a shock to say the least. But even they allowed a bit of time after the baby was born for my husband's father skills to shine through before ripping him to shreds and trying to divorce us. 
