I'd suggest rinsers is probably the more correct term, and unusual to have a set of six - it's uncommon to see pre 1900 examples in multiples of more than two or three - like anything made of glass, casualties happen. Having said that, always possible that in a large household where place settings were frequently greater than six, then larger numbers would have been the norm.
I think John Walsh Walsh were still making sets in the 1940's (not uranium though) which surprised me - so a big mis-conception to think they occurred in the C18 and C19 only.
I have a single example in a more or less opaque jade coloured uranium which I tend to think of as second half C19 - but my best guess for this transparent type of uranium would be the first third of the C20, although dating uranium is not my strong point, and someone like Christine may have a better idea of dating this sort of uranium green.
Regret I've no idea as to origin, which will almost certainly remain unknown. Intrigued to know how you came by six - are you able to say?