Maw-Maw’s Delicious Banana Pudding

1 (12-oz.) package of Vanilla Wafers 1 (5.1-oz.) box vanilla instant pudding or banana cream instant pudding 2 c. milk 1 t. vanilla 1 (14-oz.) can Eagle Brand sweetened condensed milk 1 (8-oz.) carton Cool Whip 4 large bananas, sliced…