Measure 4 1/2 cups of mixed berries and toss them with the sugar and flour.
Use the larger amount of flour if the berries are very juicy.
Let stand while you make the dough.
Mix the dry ingredients for the dough, leaving out the salt if you are using salted butter.
Cut in the butter until the mixture looks like coarse cornmeal.
Add the cream and mix lightly, until the dry ingredients are just moistened.
The dry ingredients for the topping can be prepared ahead and kept refrigerated.
The cream can then be added when you are ready to bake the cobbler.
Put the berry mixture into a 1-1/2 quart gratin or baking dish.
Make patties of the dough, 2 to 2-1/2 inches in diameter and 1/2-inch thick.
Arrange them over the top of the berries.
Bake in a preheated 375 oven for 35 to 40 minutes, or until the topping is brown and the berry juices bubble thickly around it.
Serve warm with cream to pour over it.