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1
Remove and reserve 1 tablespoon sugar. Cook remaining sugar, 1/3 cup butter, and next 3 ingredients in a medium saucepan over medium-low heat, stirring constantly, until butter melts. Cool to 110u00b0.
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2
Stir together yeast, beer, and reserved 1 tablespoon sugar in a 2-cup liquid measuring cup; let stand 5 minutes.
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3
Combine milk mixture and yeast mixture in a large bowl; stir in egg. Gradually stir in 4 cups flour to form a dough. (Dough will be very stiff.)
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4
Turn dough out onto a lightly floured surface, and knead, adding additional flour (up to 1/2 cup) as needed, until smooth and elastic (about 6 to 8 minutes). Place in a bowl coated with cooking spray, turning to coat top of dough. Cover and let rise in a warm place (85u00b0), free from drafts, 1 hour or until doubled in bulk.
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5
Coat muffin pans with cooking spray. Punch dough down, and shape dough into 36 (1-inch) balls. Place 3 dough balls in each muffin cup. (Handle the dough as little as possible to prevent over-kneading.) Cover and let rise in a warm place, free from drafts, 1 hour.
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6
Bake at 350u00b0 for 15 to 18 minutes or until golden. Place a small pat of butter on top of each roll after baking 5 minutes, or brush with melted butter after baking, if desired.