No, there is no reason for the name. Sounded cool, I needed another domain, so I registered it. You can register your own domain at eyecom for cheap.
This domain is used for e-mail and personal homepages for my friends and family. If you are one of the aforementioned and would like an account, simply contact me and I'll set it up for you. This is not Hotmail, I limit those I give accounts to to those I know.
To access your BurntFish.com e-mail account via the web go to http://webmail.burntfish.com and enter your e-mail address and password.
If you have forgotten your password contact me and I'll reset it for you.
The fish in the picture above is a Coelacanth - you can learn about it at http://www.dinofish.com. It's not really burnt, but I figured being several hundred million years old was interesting enough.