The definitive method: cut off a branch - bleach the tissue - examine the corallites under a microscope - compare to known species images.
It may also help to have a PhD in coral taxonomy if you're looking to be very accurate.
![Smile Smile](http://www.utahreefs.com/forum/smileys/smiley1.gif)
Other than that - compare what you have to pictures from reputable authors - not necessarily coral farmers - and compare growth structure, color and size. Although each of these parameters can and will change depending on the coral's specific environment, you can get a general feeling of what you have.
Now, identifying fish - there an easy method for that; ask Adam.
Good luck!