This is directly related to how the word came to be used for a drinking vessel.
* Historically, "stein" drinking vessels were often made from stone, hence the name. They were a common sight in medieval Europe and were used for drinking beer, ale, and other beverages.
While stone is no longer the primary material for these vessels, the name stuck.
The word "stein" evolved in English through Middle English and ultimately became associated with these beer mugs.