Jim - a very big thanks for adding this link, and for the generosity of the researchers and compilers who, over the years have made this 'fairy lamp' collecting area such an invaluable resource - to say these things are beautiful and attractive would be an understatement of some magnitude - could gaze at those Burmese or Nailsea types for hours.
Regret to say I'm not about to add unknown revelations that will stun the world of fairy lamp collecting - it's not an area I've dabbled in - rather, my input is in the form of questions instead.
You mention the dates of 1886 - 87, and relating this to U.K. BoT Registrations, we are in the post diamond period where only Nos. occur on the glass, if they appear at all.
Samuel Clarke's name appears as the Registrant for designs relating to fairy lamps post 1884 - quite a few in fact - but oddly these don't appear in the lists of Design Registration Nos. in some of the popular U.K. books devoted to pressed glass - these Clarke Nos. appear in your list of Registrations in the link.
I've also looked in Gulliver's 'Victorian Decorative Glass' (Schiffer) with regard to 'Richardson's' Registered Designs, but there appears to be an absence of anything relating to Registered Designs for fairly lamps.
Is there a reason why Clarke's Registrations don't appear in the popular lists, and was there some reason why it seems that 'Richardson' didn't Register any of their night light/fairly lamp designs.?
If I have this wrong, do shoot me down - wouldn't be the first time I've misunderstood.