Where is Dumbledore's wand?

[bercygirl2]

No: HPFGUIDX 165799

During the events on the tower, Dumbledore was disarmed and his wand
thrown off. Does anyone have any thoughts about where it could be now?
It doesn't seem likely to me that it was just left lying in the grass.

I thought of 2 possibilities - It was burned along with his body
during the funeral. (After Aragog's burial, Hagrid and Slughorn sang a
song about a wizard who was buried with his wand)
My other thought - we know that Harry's wand and Voldemort's will not
work properly against each other. Could Harry somehow end up with
Dumbledore's wand?

bercygirl2