In a large boul, dissolve yeast and 1 tsp of the sugar in warm water, stirring to mix; let stand until bubbly (about 5 minutes).
In a medium-sized bowl, combine 2 cups of the flour, the remaining 1/4 cup sugar, and the salt until well mixed. Beat flour mixture into yeast mixture, along with 6 tbsp of the melted butter, the egg, and milk; beat for about 5 minutes to blend well. Gradually beat in the remaining 2.5 cups flour. Cover with plastic wrap and let batter rise in a warm place until doubled (about 45 minutes).
Pour 1 tbsp of hte remaining melted butter into a 9X13" baking pan, tilting pan to coat bottom. Punch down batter and drop by handfulls into buttered pan, makiing about 15 rolls. Drizzle remaining 1 tbsp butter over dough. Cover lightly with plastic wrap and let rise in a warm place until almost doubled (about 30 minutes).
Bake in 375F oven until lightly browned (20-25 minutes. Serve hot.