Maybe inadvertantly, you demonstrate the problem. You first asked how Obama could be a citizen since he had a non-citizen father. When the poster answered your question, you moved the goalpost, asking what hospital he was born in.
The fact is, the issue is whether Obama was born in this country or not; questioning his citizenship on the basis of his father’s origin distracts from that question.
There are facts nobody disputes: Obama’s father was a non-citizen, his mother was a citizen.
Those two facts do not answer the question of whether Obama is a citizen, except that, as the WSJ article explains, Obama can only be a citizen in this circumstance if he was born in the United States.
So the only dispute is whether he was born in the United States, and the other issue is a canard.