Soooooo many possibilities. :-)
Yours are suppositions
Remember the Pen finding in the British archive noting the Obama brith in 1961 in the table of content ? It was noted by a geneologist who does work in Europe
Didn't we hear that the young, former military guy shot in his car in the DC area and worked as DoS contractor was spouting that DoS records indicated there was no one with the name Barack Obama that had a passport until such an official one was issued for the then newly-minted Senator from Illinois?
HF