Add the egg, starter and sugar to the bowl of a stand mixer. Mix until incorporated using the paddle attachment.
Add melted butter to milk. With the machine running add the milk mixture.
Add flour and salt. Mix until a dough has formed. Remove paddle and cover bowl for 30 minutes.
After 30 minutes, uncover and put the bread hook in place on the mixer.
Knead dough using the hook attachment for 4 to six minutes. Add flour if necessary to keep the dough from sticking. (Although the dough should feel tacky).
Place dough in a buttered bowl. Cover with plastic wrap and let sit at room temperature overnight until dough doubles in size.
In the morning, pour dough out onto a floured surface and allow to rest for 30 minutes.
Rollout dough and butter with 2 tablespoons of melted butter.
Mix sugar and cinnamon in a small bowl.
Sprinkle sugar mix over rolled out dough where it was brushed with butter.
Using the long side of the dough roll tightly placing the seam at the bottom of your log.
Preheat oven to 350ºF (175ºC).
Place parchment paper in a 9x12 inch dish and allow the paper to come up the sides.
Cut the rolled up dough into rounds and place up against each other in the pan.
Bake for 45 minutes or until nicely browned.
While the cinnamon rolls are baking make the glaze.
Sift powdered sugar into a bowl. Add milk, melted butter and vanilla. Whisk together until it is nice and creamy.
Remove cinnamon rolls once done, let sit for ten minutes. Cover with the glaze and allow to soak in. Serve warm.