(http://farm5.static.flickr.com/4059/4493911744_1b362f8b51_o.jpg)
(Photo source: REME Museum - REME Museum of Technology - Home Page)
This (above) is the little known Farquhar-Hill Hybrid self-loading rifle and was presented for selection to the War Department. Further more, this was just one of many self-loaders that were considered by the British Army between 1900 and the outbreak of the 1914-18 war.
The REME Museum notes that the Farquar-Hill was just as unsatisfactory as the others I had mentioned above - but that Major H J Farquhar-Hill made some improvements, but it was still turned down.
However, additional information I found on the Great War Forum seems to suggest that Major Farquhar-Hill overcame his earlier problems…
‘Farquhar Hill rifle Serial No.8 as tested at 3rd Army in France in late 1917, who reported it had “great possibilities in skilled hands”…’
However, the war ended and for some reason the impetus was lost. A pity - if development had continued we may have been equipped with a serviceable self-loader in 1939! 
Sunday answer 3-1-15 | GunLab (KnownHost).