The lie again. His parents quite likely separated just before, or just after his birth. Assuming they were ever together to be able to separate.
http://www.ilwulocal142.org/new157/index.php?option=com_content&view=article&id=174:barack-obama-senior-&catid=1:latest-news&Itemid=50
this article makes it quite clear Obama Senior left Hawaii on 22nd June, 1962.