Place the fruit, granulated sugar, and enough water to just cover the fruit in a medium saucepan; simmer over medium heat for about 20 minutes until the fruit is soft and the mixture is thickened. Remove from heat and let cool slightly.
Lightly flour a work surface and roll out the double-crust pie dough to about 1/8-inch thickness.
Cut out large circles from the dough using a round cutter or lid. If needed, re-roll scraps to cut additional circles.
Spoon a portion of the cooled fruit filling into the center of each dough circle, leaving a border around the edge.
Fold each dough circle over the filling to form a half-moon, then press the edges together and seal the seams by crimping with the tines of a fork.
Heat about 1 tablespoon of butter per pie in a large skillet over medium heat until melted and sizzling.
Place the pies in the skillet and fry until the bottoms are golden and crisp, about 3 minutes; carefully turn and cook the other side until golden.
Remove the fried pies to paper towels to drain briefly, then serve warm.