yeah but fish and eggs come from vertebrates.
i know its vertebrates because vertebrates were made on a different day from invertebrates...
I had always been taught that fish and seafood were excluded, perhaps the Orthodox differ on this. Although, I believe crustaceans (lobster, shrimp, crab) are considered scavengers and prohibited under strict kosher law, so I don't know how (if at all) that may have figured into tradition.
Oh and eggs and other dairy products DO NOT COME FROM FLESH, the animal is not slaughtered for them and I am quite certain that this distinction is important.