Vtg hand painted porcelain hole joke jug Hugo Schmidt Koblenz Deer Buck Mug

Vtg hand painted porcelain hole joke jug Hugo Schmidt Koblenz Deer Buck Mug Stein-- unmarked- has some discoloration inside I could not get out No chips or cracks-- I researched to find the maker of this but there are no markings on the stein-- does not look like it came with a lid but not for sure Thanks