Chop the onion very fine. Cook gently in the melted shortening until tender. Remove the seeds and membrane from the peppers and cut into narrow strips. Peel and core tomatoes and cut into pieces. Add to the onion and cook a few minutes. Wash the rice well and add with the water. Let this come to a boil, add 1/2 cup sour cream. Simmer until rice and vegetables are tender. Just before serving, add the remaining (sour) cream and the well beaten eggs. Season and serve hot.
