“His father bigamously “married” Stanley Dunham, Obama’s mother. Under U.S. law, Barack Obama is illegitimate. The fact that his mother was legally unmarried means that the residency requirements, etc., that people have been talking about didn’t apply to her and her son Barack, and therefore Barack Obama was born a U.S. citizen through his mother. (No five-year residence requirement, but only one, I think is the rule.)”
I’m sorry, but you are incorrect. The issues isn’t illegitimacy because even if she was illegally married, she was (not) married to a non-citizen. The citizien requirement would still fall to her, and she still doesn’t qualify.
I don't see how she doesn't "qualify". She was a U.S. citizen, I don't think anyone contests that.
The residence requirement on her (for conferring citizenship on her baby) was different, as an unmarried mother, from the requirement for married women; and she did satisfy the requirement as it existed then, so that she would have conferred citizenship on her baby simply by returning to the States and continuing to live there.
Since she was a single mother, the citizenship of the biodaddy/anonymous sperm donor was immaterial. He could have been an abominable snowman from Tibet, and it wouldn't have made any difference to the child's citizenship status.