those are not "placed" they are based on lists issued by the State Vital Records office, based on birth certificate filings. Those do not need to come from a hospital, although that is the ususal path.
Some newspapers still do that, although in some cases based on lists supplied by the hospitals rather than the state, but either way it now requires parental permission, but it didn't in '61.
I am so sick of seeing people use the birth announcement in the newspaper as “proof”. In my town and all across the country, we know that reporters used to go to the local registers and post this stuff in the paper. We also know that Hawaii allowed people to register births of babies not born there. So if his birth occurred elsewhere but was registered there, it would be posted in the paper along with all the others. Why is no one questioning the number on the COLB Obama posted. It has 1961 while the twins born the next day had 61 without the 19. That makes no sense to me. The numbering system would not change. Also, I will never believe that a birth certificate would list “African” for the father. Registrars follow formats laid out by agencies higher up. They don’t just type whatever they want. They have certain choices and that wasn’t one of them. Also, having had two children, I know that I would not have flown thousands of miles with my newborn baby in the first few weeks. That is the clincher for me. I think Ann gave birth in Canada or Washington state. She was enrolled in classes there within weeks of the birth not in Hawaii.