Ya know... HE could request a copy of the Great One's Certificate of Life Birth...
Even if he was Obama's parent, they would still only send him the "Certification of Live Birth", just like the document Obama has already displayed. That's what you get for $10. (I'm not sure if a great-uncle qualifies as an allowed requester.) According to the law they will do special record searches for an unspecified fee, but there's nothing in the law or on the DOH website about getting a copy of the original certificate. Presumably, if Obama asked, it would appear immediately.