Note that the Osprey "British Mark I Tank 1916", New Vanguard #100, has a short (2-page) section on "Tanks at Gaza", along with a number of interesting photographs and a colour profile.
It says that "eight tanks were dispatched from Bovington" in January 1917, presumably of Marks I-III. The colour profile is of a Mk I Male, "Sir Archibald", with steel trestles during sponson removal.