Did Nejd (Saudi Arabia) actually engage the Ottoman Empire during WWI or did they just fight al Rashid (Jabal Shammer), who was loyal to the Ottomans?
Did al Rashid fight the Allied forces?
The quotation below comes from A Short Story of Arab Peoples by J.B. Glubb, 1969, page 275.
The book say nothing about direct actions against both British or the Turks.
These two paragraphs are the only ones concerning both Hejaz and Nejd of the WW1 times in the book.
There is a Wikipedia article about the mentioned battle of Jarrab, with three references. Maybe you are able to reach them and find more information.