I’ve analyzed it using several different methods in Photoshop and can see no evidence of the photo being manipulated.
I think her hand, though it does look very dark, is simply in a shadow.
The notion of ‘her hand is in a shadow’ is a complete and total CROCK. THERE IS NO SHADOW THERE, never was and never will be. Study the little girl in the shadows and grandpa’s right hand then tell me ‘Ann’s hand’ is in a shadow. It’s broad daylight with the light coming from the front! What you REALLY have to wonder is why is this photo tweaked to be so faded on Obama’s Facebook page so you’ll not notice this alteration?
I’ve seen thousands and thousands of pictures and never have seen someone’s hand suddenly turn so dark. Perhaps if there had only been one light source in the room and something occluded the light from her hand, throwing it into complete darkness, perhaps then but even then I would be surprised to see it turn so dark on someone so light skinned. Here though the light is diffused pretty much evenly, so that even if Obama’s body were casting a shadow upon the hand it shouldn’t be that much of one.
On the other hand the fat kid is still a problem. It's possible it's not Obama at all ~ maybe another kid visiting with his baby daddy from Kenya. That'd give you a family resemblance but not the 'bama hissef'.
Think about it. Stanley Anne, her daughter by another marraige, her daddy, Obama hissef', Obama the putative baby daddy hissef' also, and his kid by another marriage ~ Obama's brother ~ and we have 'bama and his baby daddy running the camera ~ 'bama's hepp'n his baby daddy make it go!
What we'd need is the whole set of photos taken that day in front of those chairs and elsewhere in the airport ~ then we might have an idea of who is there, who takes the photos, and whatever else is going on.