Tbh I'd answer the interpretation question with "both" anyway. If a chicken laid it, it's a chicken egg, and if a chicken crawls out it's also a chicken egg.
Like, if a chicken lays an egg it's a chicken egg, but then if a turtle crawls out of that egg it ceases being a chicken egg and becomes an abomination and an affront against god a turtle egg that happened to have been laid by a chicken in some odd turn of events.