I’ll agree with you both except for one point. The roots are in kenya for the family as best as is determinable from best assessments except for the mother.
There are long roots in Kenya tied in with the Obama1’s role as alternate with family there. There are also roots in Indonesia tied in with Stanley Ann’s friends in the 2nd marriage of Stanley Ann to an Indonesian Soharo(?) and her friendship with Loretta Fuddy and the Subud cult.