Flag of the Tripolitanian Republic (1919-1923), according to worldstatesmen.org. 
The worldstatesmen.org website cites no reference explaining whence they derive this design. 
Compare to this the following comment on Historical Flags of Tripoli at Flags of the World:

"In 1917 a republic was proclaimed in Tripoli. The flag had a crescent and star (probably red or green), and was recognized by Italy in 1919. The republic became a sultanate in 1922. I don't know the flag but it was probably the same as that of the republic." (Jaume Ollé, 29 September 1996)
http://www.worldstatesmen.org/lib_19.gif ("©2000  Ben Cahoon")
Urutseg