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Preheat oven to 400 degrees. Line a baking sheet with parchment paper.
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In a bowl, mix together flour, brown sugar, baking powder, and salt. Once combined, cut in the butter with a fork or pastry cutter until the mixture resembles coarse crumbs.
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Whisk together heavy cream, sour cream, egg, and vanilla extract. Slowly add the wet ingredients into the dry ingredients, and mix until just combined.
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Stir in the peaches, and mix until just combined.
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On a well-floured surface, turn out the scone dough and pat into a small disk that's about a 1/2" thick. Cut into 6-8 slices, and transfer to the baking sheet. Brush each scone with just a bit of heavy cream.
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Bake for 16-18 minutes, or just until golden brown. Allow to cool.