Sprinkle chicken breast halves with salt and pepper, and arrange in a 13- x 9-inch pan. Set aside.
Melt butter in a skillet over medium heat; add onion, and saute 5 minutes or until tender. Stir in paprika. Add green onions, reserving 1 tablespoon; cook, stirring occasionally, 4 minutes.
Spread onion mixture evenly over chicken; drizzle with orange juice and bourbon.
Bake at 400° for 50 minutes, turning occasionally and basting with pan drippings. Top with chopped peaches, and sprinkle with nutmeg. Bake 15 more minutes or until chicken is done; transfer chicken to a serving dish. Drizzle with pan drippings, and sprinkle with reserved green onions.