I'm not sure if this applies when only one parent is a citizen, but it might.
The only way Obama would be ineligible to run for president would be if his mother renounced her citizenship. I don't think she did. And even so, I think it's pretty clear that he was born in Hawaii.
If this "API" story is to be believed than I think the real issue is not about Obama's birth certificate or his eligibility to be president. I think she's worried about anyone digging too deeply in the whole Odinga mess. Obama might have violated the Logan Act by campaigning for Odiga.
But, again, do we know that this is a credible source?
Dealt with before. His mother would have had to have been a citizen for 5 years past her 14th birthday. She was 18 when she had him.
An honest gal. But also it might not.