I believe if he is of record in Kenya, it will be under the name Obama, not Dunham.
I assume someone here has access to The Family History Library of Salt Lake City, Utah; I further assume it is a Mormon facility.
My Mormon access is not available at the present; I will continue to call him.
Also, if anyone manages to pursue this, look for a marriage certification record of Stanley Ann Dunham and Barack H. Obama.
BTT.
Is anyone researching the name change? Any formal application would probably have had to be published in a newspaper of record, with the court case number. It would be interesting to see the application. It would probably state birth place (which could still be in question), date, parents, and reason for the change.