In a bread machine pan, add the water, milk, egg, and butter.
Whisk together the sugar, flour, and salt. Spoon on top of liquid in pan.
With a spoon, make a dip in the top of the flour. Add the yeast.
Secure pan in machine, close lid, and set on dough cycle. Press start.
When cycle is complete, remove dough from pan and place on a floured work surface.
With a rolling pin, roll out dough in a rectangle to approx. ½ inch in thickness.
Using a pizza cutter, divide into 18 pieces.
Place each piece 2 inches apart on parchment lined baking sheets.
Cover with a clean kitchen towel and allow to double in size.
Preheat oven to 350 degrees. When rolls have risen, place on middle rack of oven.
Bake 15 minutes or until light golden brown.
Remove from oven and immediately brush with melted butter.
Serve warm or allow to cool.