Is Trelawney a witch?

[arielock2001]

No: HPFGUIDX 87093

Eric Oppen wondered about Trelawney:
"You know, I wonder how well she'd do with ordinary witches' 
skills...can she duel her way  out of a paper bag, is she any good 
at Transfiguration...?"


Arianna (that's me, I'm new) responds:
	    Are we even sure that Trelawney is a witch?  I have always 
thought she was a squib.  I can think of two canon references 
that imply that Trelawney cannot perform magic and was never a 
student at Hogwarts.
1) In PoA, she asks Neville to avoid her pink tea cups (p 104 
American ed.), as he has a tendency to break things, and she is 
fond of those particular cups.  Why would it matter if Neville broke 
the cup?  Hermione has performed the Reparo spell,  Harry 
repairs a bowl in OoP (p329), and Snape repairs a jar on p592 
(OoP).  Wouldn't she be able to repair her pink teacup if it were to 
shatter?
2) When Dumbledore tells Harry about the prophesy, he states 
(OoP 840 American Ed.),  "I thought it common politeness to 
meet her."  Now perhaps I am taking this too literately, but the 
implication is that Dumbledore has never seen this woman 
before.  It would have been just as easy, and more likely, to have 
referred to her as a former student if she had been.  It could be 
possible that she attended another wizarding school, but 
Hogwarts is the only school of its kind in England (or Scotland), 
and no one has made any mention of Trelawney having an 
accent.  
    Harry does comment that he has seen Trelawney with a wand 
(OoP 594),  but he has never seen her *use* it.   She could have 
gotten one as a gift, or it could have been her 
great-great-grandmother's.  Has anyone found a direct evidence 
that she is a witch?

-Arianna