Thank you Schultz, Reply No. 18, and Orual, Reply No. 35 for this information.
My memory has been refreshed. I think I initially came across this guy reading something years ago about the Turkish occupation of Cyprus. It was supporting of the Greek Cypriot position on this matter, and someone told me that Hitchens was either "Greek," or "Orthodox," I can't remember which. However, whenever I read any of his other material or heard him speak, particularly about religion, I figured I had been misinformed, the guy is certainly not Orthodox, and doesn't reveal anything that would lead me to believe he was Greek. But your information explains his Greek connection and why he could be mistaken for being Orthodox, and perhaps, in name only, he was when he was married to his first wife.