Foreshadowings/discoveries in Chamber of Secrets

[bamajenny12]

No: HPFGUIDX 113540

   Patrick said:

     Again, I'll paraphrase, though I'm pretty sure on this one.  When 
  Harry voices his doubts about the house he was placed in Dumbledore 
  says: "Only a true Gryffindor could pull that [Godric's sword] from 
  the hat."  The hat being the Sorting Hat, which I believe belonged to 
  Gryffindor. (correct me if I'm wrong) 
   

  Jenny's question:
  Is it Gryffindor's hat? I don't have my books here, but all I
  remember is 'Sorting Hat'. I don't remember it being called
  GG hat. Harry pulled GG's sword out of the hat because HP
  was a true Gryffindor, and because that was what HP needed
  (any maybe what GG could provide to HP) to defeat the
  basillisk. If HP had been in another house, he probably would
  have pulled something associated with RR or HH from the hat.