Reading my UK 1936 Textbook of Ammunition, it seems that Boxer and Armstrong fuzes may have co-existed for a time and that fuzes were generally known by the name of whoever designed them (eg Freeburn fuzes for the army, Moorsom fuzes for the Navy, Boxer, Pettman and Armstrong). Boxer fuzes were introduced in 1850. Page 299 says that `Armstrong's fuzes were introduced on 13th April 1860, for use with the equipment of RBL guns. The first was known as the `A' pattern, and was made of white metal. Numerous modifications and marks, the nomenclature following the musical scale, succeeded one another in rapid succession, until type `F' was evolved, which was approved on 21st September 1867, as the first `time and percussion' fuze.' The percussion arrangement was unreliable and was withdrawn from service (no date stated), leaving the E Mark III as the only fuze in general use with Armstrong guns. It was a brass fuze, originally used in naval shell only but later was recognised as being very suitable for use in shrapnel shell.
`On 12th December 1881, Sir William Armstrong brought out a combined time and concussion fuze, afterwards numbered `52', an amalgamation of the E time fuze with a graze percussion arrangement and was similar to later (World War One, presumably)time and percussion fuzes.'
Page 303 states that Fuze Percussion DA No 3 was approved on 17th November 1880.
The first base fuze to be introduced in UK service was Fuze, Percussion, Base, Hotchkiss on 9th April 1886.
`Fuze, TP, sensitive, middle, No 24 was introduced on 28th May 1887' for use in guns that were relatively low velocity.
Fuze, Percussion, base, Armstrong, No 9 was introduced for QF guns on 24th August 1890.
Fuze, Percussion, base, large, No 11 was introduced in 1894 for Palliser and common pointed shell.
Fuze T&P No 58 was in 1901 approved as the first UK fuze to use a double time ring.
The No 80 type fuze was introduced in 1905 for use in 13 Pr and 18 Pr guns. Earlier fuzes of this type are of aluminium to Krupp's design.
The Germans appear to have been the first to invent mechanical time fuzes, to overcome the inconsistencies in burning time of fuzes that relied on a burning train of powder in their time rings.
Page 301 states that Commander Moorsom of the Royal Navy invented a graze percussion fuze that was approved for sea service on 16th July 1851. The fuze was made of gunmetal, was cylindrical and had a right hand thread to the Moorsom gauge that was larger in diameter than previous systems. It had three chambers, each containing a patch of detonating composition, over which was suspended a gunmetal hammer by means of a wire. A leaden pillar and a guard wire were incorporated as safety arrangements to prevent premature action.
I hope this is of some use. Unfortunately there are no diagrams. My book mentions that the fuze details can be found in various editions of ammunition text books (Treatise of Ammunition?) and early volumes of `List of changes'.