A term used to describe Irish people, particularly the ones who immigrated to the US in there masses, during the late 1800's - early 1900's. They would typically have blue eyes, and were nicknamed 'duck eggs' as actual duck eggs often have blue tints in them.
A duck creates an egg so if "Muddy Duck" (the band) releases a single it is thier egg so instead of dropping an album they will be laying a dozen eggs. It is also a term used to describe their fans.
"Did you hear the new Muddy duck eggs"
Or
"Did you hear the new eggs muddy duck laid"
Or