Combine 2 cups of flour, sugar, salt, and undisolved yeast.
Heat milk, water, and butter until liquids are very warm (120 to 130
degrees F.) Add to dry ingredients.
Stir until evenly combined and not terribly lumpy OR beat 2 minutes
at medium speed.
Add egg and 1 cup flour. Stir until evenly combined and not lumpy
OR beat at high speed 2 minutes. Add enough additional flour to make a
soft dough.
Grease top of dough (with butter or vegetable shortening). Cover
the bowl and refrigerate it overnight.
Divide the dough into 24 equal pieces. Shape them into balls, and
place each in a greased muffin cup.
Cover, let rise in a warm place (75-100 deg. F) until doubled. This
will take between 1 - 1 1/2 hours. Towards the end of the rising
period, preheat the oven to 400 degrees F.
Bake for 12 to 15 minutes. Store the rolls tightly covered.