I don't know if you have these things, but this is VERY simple to make and works very well with blackberries instead of peaches (or in addition to!)
1 cup of plain flour
1 teaspoon of baking powder
1 teaspoon of cinnamon
A pinch of salt
3 ripe peaches
14 tbls butter at room temperature
1 cup minus 2 tablespoons of sugar
2 large eggs
1 teaspoon of pure vanilla extract
1/3 cup of full-fat milk
1. Put a rack in the middle of the oven and preheat the oven to 180C/gas mark 4. Grease an 8-inch round (and 2-inch deep) cake pan and place it on a baking sheet.
2. Whisk together the flour, baking powder, cinnamon and salt, and set aside.
3. Melt 6 tbls. of the butter in a small saucepan. Sprinkle in 6 tablespoons of the sugar and cook, stirring until the mixture comes to a boil. Pour this evenly over the bottom of the cake pan. Set aside.
4. Skin the peaches by dropping them briefly in boiling water. Pit and slice the peaches, then lay them out in a pattern on top of the butter/sugar mix in the cake pan.
5. In a large bowl, beat the remaining 8 tbls of butter until smooth. Add the remaining half cup of sugar and continue to beat until creamy – about 3 minutes.
6. Add the eggs, one at a time, beating for 1 minute after each addition and scraping down the bowl as you go. Add the vanilla and briefly beat this in too.
7. Using a wooden spoon (or a lower speed on a stand mixer, if you have one), add half the dry ingredients, mixing only until they disappear into the batter. Mix in the milk and then the rest of the dry ingredients.
8. Spoon this mixture over the peaches in the cake tin and smooth the top with a rubber spatula.
9. Bake for 40 to 45 minutes or until the cake is golden and a thin knife inserted in the centre of the cake comes out clean.
10. Remove from the oven and allow to sit for 30 minutes, so that the peachy juices have a chance to settle into the cake.
11. Carefully turn the cake out onto a plate and serve.
(from Dorie Greenspan, Baking From My Home To Yours and
http://littlebirdeats.wordpress.com)