the rolled lip design is REALLY hard to research on. I have a piece with that and spent months looking at various pieces trying to get a handle on it. And it's really hard to do so, therefore I gave up trying to use the rolled edge as a 'marker'.
I think the stem and foot is more of a marker than that to be honest, and then you have to look at the whole 'picture', the design, the way it is made, any pontil mark, the heft/weight of the glass, the way the 'frosting' has been done, the cut and polished lenses etc.
All those design elements together will need to point to a final identification - also to used for eliminating who, or where it may not be from - it's not easy. I would discount looking for the rolled edge as that will put you very off beam except as a 'final' consideration. Sorry.
m