Yes Dumbledore dies – going over the wall in Book 6.
`The one with the power to vanquish the Dark Lord approachesâ€¦ born to those who have thrice defied him, born as the seventh month dies â€¦ and the Dark Lord will mark him as his equal, but he will have power the Dark Lord knows not â€¦ and either must die at the hand of the other for neither can live while the other survives â€¦ the one with the power to vanquish the Dark Lord will be born as the seventh month dies â€¦’
Both Harry Potter and Neville Longbottom are born days apart in the month of July, as stated in J.K. Rowling’s notes on her (text) website. Of the two boys, Harry was the choice Voldemort made to go after. Which leaves Neville to study further. The two boys are mentioned early on in book 6 before chapter 10.
So we shall see.