It shouldn't really be necessary to waste time on stuff like this. The blogosphere has been littered with accusations and implications that Barack Obama is not qualified for the presidency because he was not born in the U.S. More recently there have been rumors that the state of Hawaii is suppressing the relevant information from public view.
In the first place, it doesn't matter where he was born. His mother was indisputably a citizen, and the relevant law states that "before the child was born, the U.S. citizen parent must have been physically present in the U.S. and its possessions for at least 10 years, 5 of which must have been after the parent turned 14." Some goons on the right fringe suggest that he was born in Africa, then "smuggled" into the U.S. That's not true, but it wouldn't matter if he had been born while she was circling the earth in a space capsule; he's still a citizen.
His birth announcement was published in the Honolulu Advertiser. I've embedded the lower left corner of the newspaper page above. Those who want to view the whole page can view a pdf by going to Wikileaks and clicking on the link.
It is also not true that the state of Hawaii has "sealed" his records for nefarious reasons. The Hawaii Governor's office has issued a public letter explaining that the birth records of ALL Hawaii citizens are nonpublic because of the risk of identity theft.
This kind of damnation by innuendo keeps popping up, not unlike a child's "Whack-a-mole" game. I'm not going to spend any more time rebutting them.