So sorry to hear that this has given you a disappointing Christmas m - never mind, we all get let down some time or another

Seriously tho.......... regret not my sort of glass and unable to offer any useful info., but............ pump handles and these large trefoil shaped rims were common ish c. 1850 in a variety of places, and j.p's comments were usually light years better than mine, especially in the area of this 'Venetian' sort of decorative glass, which presumably was were the French, and everyone else, borrowed the look from.
Baccarat did this shape I'm sure, although don't know if they did mezza filigrana - or maybe St. Louis - and there's even a chance it could be Bohemian or Richardson's in England - you'll probably never know for sure.
quote ...." Dad liked glue - lots of glue" .. makes me think of the humorous lines......... "I love cooking with wine - sometime I even put it in the food"..

Presumably you've not yet dismantled this piece - do the usual and start at the least intrusive end of the spectrum of anti-glue chemicals and work up to paint stripper or solvent of some kind. The glues that give real problems are the Araldite types, and they too go brown after time - although here again think I've heard that paint stripper can help.