In a large bowl, combine 1 cup flour, sugar, yeast and salt. In a saucepan, heat 1 cup water and butter to 120°-130°. Add to dry ingredients; beat for 2 minutes. Cover and refrigerate egg white. Add egg yolk, egg and 1 cup flour to yeast mixture; beat until smooth. Stir in enough remaining flour to form a firm dough.
Turn onto a lightly floured surface; knead until smooth and elastic, about 6-8 minutes. Place in a greased bowl, turning once to grease top. Cover and let rise in a warm place until doubled, about 1 hour.
Turn dough onto a lightly floured surface; divide into 20 pieces. Shape 18 pieces onto 10-in-long ropes. Fold in half; twist top half twice to form ears. Place 2-in. apart on greased baking sheets. Shape remaining dough into 18 balls. Place one on the loop end of each roll to form tail; press into dough. Cover and let rise until doubled, about 30 minutes.
Whisk the reserved egg white with remaining water; brush over rolls. Bake at 375° for 12-15 minutes or until golden brown. Cool on wire racks.
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