I'd have been inclined to agree with Lustrousstone re the method of decoration. I've seen shed loads of British machine etched pieces, and you get to recognize the format/style after a while - thinnish lines etc., not broad areas of engraving like this one, which appears to have a typical matt finish where the wheel was used. The answer might be to look for irregularities in the pattern - working on the assumption that a machine will give a design that is perfect without any variation. If you find differences in size of similar parts of the pattern, that might indicate hand engraved. Could be wrong of course, and this might be an example of some very unusual machine creation. Try using a lens to see if wheel marks can be seen. A very nice piece by the way.
I had an idea that even the threading isn't totally machine made - if you look at pictures of how this was produced, I'm sure I've seen one guy holding the end of the thread and another turning the article. At least I think that's how I remember the process.
I've included a couple of pix showing wheel engraving (the pint glass) and standard machine etching (the sherry or liqueur or whatever) - hope you don't mind these being added to your thread. Regrettably, I don't know the country of origin of either, but certainly European I believe.