The casual labels on this map reflect that political divisions of territory were less clear during this time period. The map was drawn at a time after the Ottomans lost control of the region but the British and French had not yet imposed their own labels and territorial divisions.
The labels reflect the previous demarcation of the region in Ottoman Palestine and are simply the names of central cities: Damascus, El-Kuds, and Beirut. There are also smaller titles demarcating regions in contemporary Jordan. The only label that corresponds to a modern nation state is that of Egypt.