So which chunk did the USA get back in 1919?
There are a number of maps around dating back to the Wilson regime that show this, that and the other thing mandated to whoever and whatever. The plans are an open book now. Back then the Tripartate Powers were busy still writing secret treaties AFTER WWI ~ just like they'd been writing them BEFORE WWI which, in fact, led to the war itself.
The idea that Wilson had that treaties ought to be openly arrived at was probably correct ~ his failure was in not figuring out how to get that done.
I went looking for an outline you could follow ~ one of the problems being there's a video game out that involves American occupation of Turkey and it makes it difficult to track down stuff ~ this is a beginning reference for you ~> http://en.wikipedia.org/wiki/Treaty_of_Sevres
NOTE: The United States and the Turkish Government of the Ottoman Empire had had a very long and fruitful relationship. They were the first off the block to recognize our independence. There had been Turkish immigration to America ~ Greek, Armenian, Arabic, Turkish and Slavic speaking Turkish nationals.
They'd stupidly gotten involved with the Germans ~ the US chose to be neutral ~ which history has shown would probably have been a great idea for both the US and Turkey. More diplomatic contact would have helped.
There's still a Turkish quarter in Brooklyn. The Turkish quarter in Indianapolis was destroyed by the routing of I70 through Brightwood back in the 1970s. There are dozens of other American cities that had a 'Turkish Quarter' ~ some of the parts are there, the people have assimilated, but for all practical purposes that period of history and that relationship has had some substantial changes.
Mitch Daniel's grandfather came from that part of the world.