First off, Isn't 'agnatha' the classification for eels??

I think that it is. Although I am no longer sure because merriam websters online dictionary says they have never heard of it. I habitually use it because everything else on the internet is usually taken, but i am extremely impressed that you have heard of it. I used to think that it was a phyllum of prehistoric jawless fish, but i really dont know anymore. How did you know?