Seems this stuff was making big money back then, and it would be difficult to over-estimate the success of this art-glass, financially, in the States during the early 1880's - although this was all rather over-shadowed at the time by what must have been very expensive litigation for the two companies........... but that's what seems to happen when there's money to be made.
Copying must be the second oldest profession, and the genuine article was plagued by European imports (into the States), much from Germany, and seems it did end up with the name of German Amberina.
The Truitt's book includes examples of Bohemian Amberina, which they attribute to the Harrach glassworks, although they don't discuss this product in the text - which included not only the typical amber to red, but what looks like some entirely red pieces - they also include shell-ribbing on a handle.
According to Kenneth M. Wilson, these 'foreign imports' caused serious economic problems for sales of home grown Amberina, and into the bargain it seems that these imports were made by 'shell casing/plating' the colours - i.e. not 'homogenous in structure' like the real thing - so made to be sold cheaply and to undercut the genuine article.
Some imports were found to be simply stained red over amber - which is perhaps easier to detect from the plated examples, about which Wilson comments...."the two types of glass could not be distinguished (the States originals and the plated imports) except by experts".
One of the differences, apparently, is that the original Amberina and Rose Amber were lead containing metals, whereas those from Continental Europe were not. ........... so flicking essential

There are other factors that apparently help to suggest the origin, but won't go into those here.
Some examples of the original States products are known to have been engraved - very beautiful too.
Believe that determining the differences between the various products has given the States people real headaches, but it is very attractive, and one of those types of glass that brings out the lust in us collectors, so can see the appeal.
Of course credit for almost all of this information goes to Wilson, and if you've the slightest interest in art glass from the last quarter of the C19, then his volumes are a must - they're sold under the 'Antique Collectors' Club' banner.......... so does that mean I'm an antique ??