It is too weird that in an era where I can't say or do anything without it being seen and listened to, nobody can get some Obama DNA and settle it. Nobody can get ahold of SAT scores or school transcripts.
I tend to believe this. If there had been a marriage, there would've been some pictures or memories, somewhere.
I remember when Clinton was president and stories were going around about him having illegitimate kids, people wanted a DNA sample. They said if Clinton went to a bar for a beer with the voters, the Secret Service would grab his mug and take it. If he wiped his mouth with a napkin after eating a hot dog, SS got the napkin. I suppose they are even more vigilant now.
Be aware that adoption and acquiring foreign citizenship thereby does not change the status of a child born in the USA.
In the eyes of American law, the child remains a US citizen until renouncing that citizenship as an adult!
The argument that adoption by Soetoro and, thus, becoming a citizen of Indonesia permanently changed Obama's citizenship status in the USA is completely specious.
But, being adopted indoneasian as a minor does not eliminate him from claiming US citizenship.