There is a chapter on Reilly's involvement in making Pigeon guns in the Reilly line which he first advertised in 1868. Since Cyril Adams is mentioned (and shortly before he died, he wrote a testimonial about that history), here are two of Cyril Adam's Reilly Pigeon guns which were sold a couple of years ago. In the 1880's Reilly emphasized Hurlingham weight, flat ribs, low profile hammers, Whitworth Steel barrels on his pigeon guns in his advertisements.

23574, numbered in Nov-Dec 1881
[Linked Image from i.imgur.com]

24534, made in late autumn 1882
[Linked Image from i.imgur.com]