Invisibility Cloak Sender Mystery

Your father left this in my possession before he died.
It is time it was returned to you.
Use it well.
A very merry Christmas to you.

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'And the Invisibility Cloak - do you know who sent it to me?'
'Ah - your father happened to leave it in my possession and I thought you might like it.' Dumbledore's eyes twinkled.
'Useful things... your father used it mainly for sneaking off to the kitchens to steal food when he was here.'

THE MAN WITH TWO FACES - Pg 323

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'D'you think he meant you to do it?' Said Ron. 'Sending you your father's Cloak and everything?'
'Well,' Hermione exploded, 'if he did - I mean to say - that's terrible - you could have been killed.'
'No, it isn't,' said Harry thoughtfully. 'He's a funny man, Dumbledore. I think he sort of wanted to give me a chance. I think he knows more or less everything that goes on here, you try, and instead of stopping us, he just taught us enough to help. I don't think it was an accident he let me find out how the Mirror worked. It's almost like he thought I had the right to face Voldemort if I could...'

THE MAN WITH TWO FACES - Pg 325