RE: Restorff & Bettmann N.Y.
Your beer or malt beverage bottle used a type of "lightining closure" , most likely... and the stopper is for a whiskey ( often a flask). A cork "ring" was inserted within the mouth of the flask, and the stopper fit snugly inside the cork.
CREWELADEVIL.....I see traces of paint or gilding on the milk glass piece. Usually pieces thus painted were used for Feminine products: cologne, toilet water, etc...