Melt butter into a bowl. Add milk and egg to melted butter and mix well.
Pour wet ingredients (melted butter, milk, and egg) into the bread machine then add all other dough ingredients.
Set bread machine to dough setting and start. Mine takes 1 hr 30 minutes but this may differ by machine
Once dough cycle is complete, roll out dough onto a lightly floured surface until it is a rectangle approximately 12" x 18"Pro Tip: push the dough into a rectangle shape with your hands. do not cut it into a rectangle and lose dough.
Spread melted butter over the entire rectangular piece of dough.
In a small bowl, mix brown sugar and cinnamon together. Use this mixture to completely cover the melted butter all the way to the edges of the dough.
Roll the dough the long way into a log, then cut into 9 equal parts. Pro Tip: Start my cutting into 3 equal parts then cutting each of those into 3 more equal parts.
Place each piece on its side in a greased 9x9 pan. Let rise for 1 hour.
After the rolls have risen, bake in the oven at 350℉ for 40 minutes. Pro Tip: If the color is getting too dark too quickly, cover with a piece of aluminum foil.
Frosting
Mix melted butter, vanilla, and powdered sugar together.
Carefully add in milk (or cream) 1 tablespoon at a time until your frosting reaches the desired consistency.