Quote: The "like coagulated cheese ball type stuff, more like hardened puss".... would be a 'lash egg'...usually not as large as even a pullet egg.
Eggs without any shell, just membrane, are usually called softshells, or softies, or water ballons...have seen them called rubber eggs too tho.
Never heard of a lash egg called a rubber egg...often called 'what the heck is this that came out of my chicken!?!'