Fawkes - Gryffindor

[Frank Schreiber]

No: HPFGUIDX 73285

I saw an interesting article about Fawkes being connected to Godric 
Gryffindor, please read it here:

http://www.hp-lexicon.org/essay-fawkes.html

Now: After having read a lot of times all the 5 books and sneaking 
through the hp-lexicon quite often, it occured to me: What if Godric 
Gryffindor is an Animagus and can transform himself to a phoenix? 
What if he stayed transformed into a phoenix since his time? And he, 
as a phoenix, burned and was reborn from the ashes all the time? 
That could mean that Godric Gryffindor could be still alive as 
Fawkes!

I'm not sure if this theory contradics facts mentioned in the books, 
so, may you please inform me if this could be true?

Thank you!