Bring the rice, milk and a generous pinch of salt to a boil. Simmer for 25 minutes, stirring frequently. Remove from heat ans allow
to cool. Beat the butter and sugar then add the eggs, continue beating for 5 more minutes. Add to the cooled rice mixture. Butter a round casserole dish
and pour the rice mixture into it. Sprinkle the brown sugar on top and bake at 350 for 40 minutes.