I think most of what you wrote there is correct, but you are incorrect when you say that “settled law” would deem Obama to be a natural-born citizen if he was born in Kenya. Obama’s father was a foreigner, and his mother a U.S. citizen, and under the law in place at the time of Obama’s birth a person born outside of the U.S. to one American parent and one foreign parent was a citizen at birth only if the American parent had resided in the U.S. for at least 10 years and at least 5 of which were after the age of 14; since Ann Dunham was 18 at the time of Obama’s birth, she couldn’t have resided in the U.S. for 5 years after the age of 14, so if Obama was not born in U.S. territory he would not have been a U.S. citizen at birth.
What possible evidence, EVIDENCE, not internet rumors is there that this idoicy is true.