The information I have is:
In 1958, Obama Senior was awarded an American sponsored scholarship in economics to the University of Hawaii at Manoa. He was selected by a former Kenyan cabinet minister, the late Tom Mboya, who was earmarked as the successor to Jomo Kenyatta, Kenya's first prime minister and a leader of the terrorist Mau Mau.
The presumption was that Senior would return to Africa and use his “Western-honed skills in a new Kenya.”
In 1959, at the age of 23, Obama Sr. left behind his pregnant wife Kezia and their children to become the first African student enrolled at the University of Hawaii at Manoa.
So, if he were a freshman in 1959, he would have graduated in 1963, supporting the, “he left when Obama II was 2 years old.
There's no paper trail for this guy, except what he's written in his books.
He's a complete invention of his own imagination.
Seeing you call him Obama II and remembering he is BHOII on his apparently improper CLB prompts me to point out that his proper grandparents would have named him BHOjr if Stanley Ann had married BHO. So I doubt that they were married.
Obama snr - Harvard document.