you could be in for a long haul on this one Ben - and most likely never. Machine acid etching is such a vast area and with a prodigious quantity of designs and made throughout Europe and North America from 1860 and well into the C20. The shape of the tumbler strikes me as unusual - whether that's just my limited experience of these things or that this is a genuinely less common shape I'm not sure - it's possible the shape may give someone a clue as to origin.
Sorry this is of absolutely no help.