Preheat oven to 450°. Line a baking sheet with parchment paper.
In a large bowl, combine flour, sugar, baking powder, baking soda, and salt. Using a pastry blender, cut butter into flour mixture until crumbly. Stir in chopped cherries.
In a small bowl, combine 1 cup cream, sour cream, and cherry juice, whisking until smooth. Add cream mixture to flour mixture, stirring just until dry ingredients are moistened (dough will be sticky).
On a lightly floured surface, with floured hands, press dough to a 1-inch thickness. Using a 2-inch square cutter, cut out scones, and place on prepared baking sheet. Brush tops of scones with remaining 1 tablespoon cream. Bake until lightly browned, 15 to 17 minutes.