There's no rational reason to believe BHO was born anywhere but Hawaii.
The the only real argument boils down to whether or not a person born in the US to an adult American mother and a resident alien father is indeed a natural born citizen.
Other than the lack of documentation proving it. Minor detail
“The citizens are the members of the civil society; bound to this society by certain duties, and subject to its authority, they equally participate in its advantages. The natives, or natural-born citizens, are those born in the country, of parents who are citizens. As the society cannot exist and perpetuate itself otherwise than by the children of the citizens, those children naturally follow the condition of their fathers, and succeed to all their rights. The society is supposed to desire this, in consequence of what it owes to its own preservation; and it is presumed, as matter of course, that each citizen, on entering into society, reserves to his children the right of becoming members of it. The country of the fathers is therefore that of the children; and these become true citizens merely by their tacit consent. We shall soon see whether, on their coming to the years of discretion, they may renounce their right, and what they owe to the society in which they were born. I say, that, in order to be of the country, it is necessary that a person be born of a father who is a citizen; for, if he is born there of a foreigner, it will be only the place of his birth, and not his country.”
Emmerich Vattel, Law of Nations, § 212. Of the citizens and natives
BHO Sr. was not a resident alien. He was a visitor, here on a student visa. A resident alien is someone who intends to stay, even if they eventually don't. Some on student visas do stay, but they have to convert to legal resdient alien status first. After a while they can, and most do, apply for citizenship.
BHO Sr. always intended to trot back to Kenya, which he did, taking a different American back to become his third wife, (if you count Stanley Ann) while he was still married to the first and second (S.A.) All perfectly legal, in Kenya.
There is video of his Kenyan grandmother announcing how proud she was when she witnessed his birth in a hospital in Mombasa. You think she was making that up? Sounds pretty convincing to me. The only reason Hawaii would issue a COLB at that time was if the child wasn’t born in a hospital (ie, born at home or out of state). Yet he claims he was born in a hospital in Hawaii.
There is video of his Kenyan grandmother announcing how proud she was when she witnessed his birth in a hospital in Mombasa. You think she was making that up? Sounds pretty convincing to me. The only reason Hawaii would issue a COLB at that time was if the child wasn’t born in a hospital (ie, born at home or out of state). Yet he claims he was born in a hospital in Hawaii.
Does it bother you that there is no authority to support what you say?