Place eggs in large bowl and beat well. Add sweet potatoes, granulated sugar, condensed milk, 1/3 C. butter, and vanilla. Mix well. Spoon into baking dish.
Combine coconut, brown sugar, flour, and remaining butter in bowl. Stir until well blended. Sprinkle over sweet potato mixture.
Bake uncovered 35 - 45 minutes until a knife inserted in the center comes out clean. Let stand 15 minutes before serving.