Melt butter in a 2-quart (9x13) baking dish. Combine flour, sugar, milk, and vanilla. Pour over butter. Do not stir. Spoon peaches over batter. Do not stir. Bake about 40 minutes until brown and bubbly.
Notes
*Self-rising flour: 1 cup all-purpose flour plus 1 ½ teaspoons baking powder and ½ teaspoon salt.To ripen a peach, place in a paper bag for a couple of days.To peel peaches, drop them into boiling water for 1 minute. Remove and plunge into a bowl of ice water. The skins will loosen and can be removed easily.