The owl beaker head and body (right) were made more than 400 years ago in the Netherlands. They don’t belong together but they do fit! Both are in the Boijmans van Beuningen museum, where I once had the opportunity to see them from up close. 
Why an owl? Owls produce pellets that they throw up. This looks like vomiting, which humans do when drinking too much from an owl beaker. This is only one possible explanation.  
The owl was used for all kinds of symbolic reasons in art around 1600, but not all of these symbolic values are easy to connect to these cups. However, owl beakers were sometimes given away as prices for shooting competitions, likely because the owl was used as a decoy for catching other birds.
The owl beaker was thrown on the potters wheel and then decorated with all the additional details. The glaze is a tin glaze with blue (cobalt) painting.