So no. What you have said is a lie. I have no idea what motivation you have by making something this up but you did and you should be ashamed.
If a woman in labor enters a hospital in the United States they are legally required by law to deliver the baby regardless of how the person can pay.
Later after the woman and baby are discharged they can send them bills for the medical procedures whatever those maybe and yes they have the option of going after that debt in whatever way our legal system allows them to.
What I am saying is, specifically for medical debt they don’t often go after especially in emergency situations and end of life situations.