(g) if he was born in Kenya.
I think the law at the time was 5 years after 14 so his mother was not old enough to convey citizenship and in his case his Father was a British Subject which means he was born British, not American.
This assumes he was born in Kenya and his father is Obama. Ironically, if his father is indeed Frank Davis then he would probably be good to go.
Its his fathers citizenship which is the issue. His place of birth is just a distraction, albeit one that would readily resolve the issue.
John