Preheat oven to 325°F.
Mix crumbs, butter, and sugar together.
Press mixture into springform pan bottom.
Bake crust for 10 minutes exactly.
Beat cream cheese until completely smooth.
Add sugar and mix thoroughly.
Beat in eggs one at once.
Stir in vanilla and sour cream.
Pour filling over prepared crust evenly.
Bake for 45-50 minutes total.
Combine peaches, brown sugar, and cornstarch.
Add cinnamon and mix well together.
Top cheesecake with peach mixture carefully.
Dot with butter pieces on top.
Bake additional 15 minutes more.
Cool completely before removing pan.