[etraveler13]

in 1962, At 26, Barack Obama Sr. wins a graduate scholarship to Harvard. He enrolls in September 1962 to pursue a Ph.D. in economics and for that end moves from Hawaii to Boston, Massachusetts, he never graduated from University of Hawaii.
http://www.barack-obama-timeline.com/barack_obama_sr/

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He lived separately from Mother and son as well
Throughout the time he was in Hawaii, Barack Obama Sr. maintained his own separate apartment at 625 11th Ave. in Kaimuki, within walking distance of the University of Hawaii at Manoa, where he was enrolled for studies in the fall term 1959.
With Lefforge and Young occupying the main residence at 6085 Kalanianaole Highway in 1961, the only possibility would have been for wife Ann Dunham Obama and their infant son to live in the small cottage behind the house

[El Gato]

he never graduated from University of Hawaii.

University of Hawaii says he did, with a BA in Economics:

[El Gato]

With Lefforge and Young occupying the main residence at 6085 Kalanianaole Highway in 1961, the only possibility would have been for wife Ann Dunham Obama and their infant son to live in the small cottage behind the house

According to WND the Polk directory for 61-62 shows Stanley and Madelyn Dunham, and Ann Obama, lived at that address, at least for a time.

Stanley Ann shows up with many variations of her name. The directory above has her as Ann S. Obama, the Polk directory for Seattle has her as Mrs. Anna Obama.