Large star cuttings like this were very common in the early 1900s. Fostoria made their Cutting 81, Large Star, from about 1907 to the late 1920s, indicating the stars were well-liked. Many companies made this sort of cutting.
In fact we've seen rather crummy versions of this at the local thrift store with low grade glass and pressed stars or poorly cut stars. The particular wine stem I'm showing here is high quality crystal and the cutting is well done. I think it is Fostoria, Cutting number 81, based on the number of rays in the star and so on.
People who drank wine tended to have more than one type or one glass at a dinner or to serve sherry or wine before dinner. But compare the size of the wine stems to what we use today for wine. This one is 4 1/4 inches tall and holds just under 3 ounces when filled to the brim. That means that someone would have only about 2 ounces to drink at a time.
We have a pair of these stems and matching small table tumblers listed in our TIAS and eBay stores.
Catladykate's Elegant and Depression Glass at TIAS http://www.tias.com/stores/catladykate/
Catladykate at eBay http://stores.ebay.com/Vintage-Elegant-Depression-Glass