I do know the name of the doctor who delivered me, and I grew up in the second largest city in my state. The population would have been around 100,000 at that time.
Of course he was also my family doctor until I went to college, he did my college admission's physical for example. He also took out my tonsils. He once came to my house rather than making me come in to the office, being sick and all. Maybe even more than once.
We didn't exactly live in the "rich" part of town. Our street was not even paved (which was pretty unusual, even the "Colored" part of town had paved streets. I don't think they ever did pave it, before they closed it off a few years after we moved in '59 (it'll be 50 years next Saturday :) ) to the house my mother still lives in. The house was moved before the street was closed, but not much before. It's now closer to Mom's house, has a much better basement, and sits on a paved street. :)
Of course he was also my family doctor until I went to college, he did my college admission's physical for example. He also took out my tonsils. He once came to my house rather than making me come in to the office, being sick and all. Maybe even more than once.
And I think that's the key part - the continuing relationship. I have no idea who delivered me or my siblings, but I sure remember my two family docs, one for my very early years, one from about age 10 on.