If I can add to a thought from someone earlier today...
If you were the administrator of either of the two mentioned hospitals in Hawaii, wouldn’t you have researched everywhere to try and prove that Obama was born there? That would be great advertisement.
The fact that neither has bragged about it is not proof, but certainly points to the fact he was not born in either.
I've been lurking for a while, and that has been addressed, though you might not have seen it. The HIPAA laws about patient confidentiality forbid giving out such information, or at least Kapiolani Medical Center thinks so:
"We don't have plans to do anything," said Kapiolani Medical Center spokeswoman, Claire Tong, when asked how the center plans to commemorate the soon-to-be 44th U.S. president, who, according to Obama's family and other sources, was born at that hospital on Aug. 4, 1961.
"We can't confirm or deny it — even though all the information out there says he was born at Kapiolani Hospital. And that's because of the HIPA law."
I'm in the medical field, and I know that many hospitals and physicians are extreme about this, possibly beyond what they really have to do, because the penalties for violation are severe. Also, the bad publicity for HIPAA violation would be far more damaging than any prestige from being "the birthplace."