In Belgium was at least a hundred little anonyme gun manufactures producing cheap pocket revolvers and shotguns. It is impossible to identify exactly the British Bulldog revolver, if the name of manufacturer is not engraved or stamped on it. Usually it was not. The "British Bulldog" was not a trade-mark of a revolver, but a pattern or a family of pocket-sized revolvers, made by (mostly) anonyme Belgian firearms plants, usually located in Liege/Herstal region.
Some Bulldogs were made also in France and original models actually in Britain. Bulldog handguns are more or less faithful copies of WEBLEY "Metropolitan Police" or "Royal Irish Constabulary" revolvers, but calibers of them varied from 5 mm to 11 mm (if not up to .476 Eley or .577 Boxer) European, British or American cartridges. Those same Belgian firms produced also "American Bulldog" revolvers, chambered for the short revolver cartridges popular in USA. There were, of course, produced the "Belgian Bulldogs" too.