Yes I assumed that. In humans a total hysterectomy (vs a partial one) includes removal of the ovaries.Come to think of it, he would've been referring to her ovaries.
I am assuming Elizabeth died of something like that. She couldn’t put a shell on her eggs either and died very suddenly. In all honesty her’s wasn’t a bad way to end (waaay too young of course). She was out foraging with everyone and at the end of the day came in and instead of roosting just lay down on the coop floor. She died maybe an hour later.
Rest In Peace Elizabeth.