Reading anything on Allenby is time well spent, especially the book on him by Wavell. Allenby was a total professional in sharp contrast to the total-amateur of Lawrence.
I'd also strongly suggest reading Yigal Sheffy. British military intelligence in the Palestine campaign, 1914-1918
It's an excellent corrective to the Lawrence view and basically shows how cool headed and methodical the British were, and what Lawrence actually did versus what he and others claim.
Bookmarks