This is a vintage 1950's or 60's Hofbrau 1 liter beer krug in good condition. This style was common from the 20's-60's so it is correct for WWII. It is in good condition with only light wear and minor flaws in the glaze. Great item for events to help eliminate farby bottles.
This is a krug, not a stein. Stein is what English speakers and tourists say. In German a stein is a stone, and is not used to describe a beverage container.