I have a map dated to 1923 in a WW1 book I have. It dosn't show all of the middle east but it does show Trans Jordan (British Mandate), Syria (French Mandate), Iraq (British Mandate), Persia, Kuwait (British protecturate), Nejd (Saudi arabia 1932), Asir, Yemen and Aden (British protecturate).
Atlantis has gained a mandate in North Western Turkey and did have one in Armenia/Azerbaijan which are now independant countrys with current day boarders except Baku is in control of the Russians.