My error. The "lobed" trigger plate, that is otherwise identical with the earlier 1902, must just represent a varient in the 1902. I see the distinction that you are making as the 1904.
The "Very strange A-Grade 16-gauge -- ?!?" is the gun that i want to replace the trigger plate on. It also looks like our carpet, so maybe i sent you pictures of it, along with various other people, trying to decide what I was looking at, a couple of years ago.
The gun has steel barrels with good bores, a very well made replacement butt stock and a Baltimore receiver with a REPLACED trigger plate. It is made in two pieces, "attached" in tension by the dolls head. Otherwise the carefully fitted front piece is not attached to the trigger section, and the trigger section is held only by the two screws down from the top tang. The trigger assembly is not Baltimore quality at all, although it works. I would send you photos of these parts, but do not know how to attach them to this message.
This gun is fun to shoot with lite loads, looks good, but is weak as above. Therefore, I would like to replace this makeshift assembly with a proper Baltimore trigger plate and assembly.