Parker House Rolls

warm whole milk ((110 degrees on an instant read thermometer))

unsalted butter, (melted and cooled (plus about 6 tablespoons extra melted butter for brushing on rolls before and after baking))

large egg

unbleached all-purpose flour ((plus 2 tablespoons if needed))

granulated sugar

rapid-rise yeast ((1 package or 3/4 ounce))

salt

Vegetable oil for greasing the bowl

Vegetable oil spray