Using a 2-inch round cutter, cut a hole in center of biscuit. Reserve cutout for another use.
In a small nonstick skillet, melt butter over medium heat. Place biscuit in skillet, top-side down; cook for 1 to 2 minutes. Turn biscuit over. Pour egg white into hole in biscuit. Cook, without touching, for about 1 minute. Add yolk to white. Cover and cook to desired degree of doneness, 6 to 7 minutes. Season to taste with salt and pepper. Serve immediately.
Recipe by The Ribbon in My Journal - Phyllis Hoffman DePiano at https://www.theribboninmyjournal.com/eggs-in-a-basket/