Snopes.com assumes that Obama misspoke. They believe he said "father" when he probably meant to say "grandfather". Indeed, Stanley Dunham did serve in WWII. However, on February 14, 2010, award-winning author Jack Cashill wrote an article, A Further Inquiry Into Obama's Origins, in which Cashill presents some evidence suggesting that Stanley Dunham may have fathered Barack with a local black woman. Here is Cashill's hypothesis:
Obama tells us in Dreams that Gramps frequented otherwise all-black bars and hung out with the card-carrying communist Frank Marshall Davis, an African American with Kansas and Chicago roots. In communist circles, the sharing of sex partners was not uncommon.
If a black woman, perhaps a friend of Davis's, gave birth to a child of Dunham's, Barack Sr. would have obliged the Dunhams by marrying Ann, and claiming paternity in return for all the potential benefits of having an American wife and baby.
We also know that Stanley Dunham so desperately wanted a boy that he named his only child "Stanley Ann." Raising the young Obama would fulfill that desire. It would also explain the special relationship between him and Obama and the subsequent coolness of Obama’s grandmother, Madelyn Dunham or “Toot,” to the whole charade. It might also explain Ann’s distance from her presumed son whom she would desert for long periods to advance her career.
This theory makes sense of the secret marriage in Maui, Stanley’s enduring fondness for Barack Sr., the powerful resemblance between Stanley Dunham and Obama, and the Dunhams’ apparent willingness to subsidize mother and baby in Seattle.
This begs the obvious question, "Did Obama tell the truth about his paternity in this video?" You decide.