Spray muffin pans or use liners. Set oven to 350°. In a medium size bowl combine egg, white sugar, and milk. Mix in spices. In another bowl blend together baking soda, powder, and flour.
Slowly incorporate the wet into the dry mixture so a dough forms. In a separate small bowl, mix together brown sugar and cinnamon. Add in butter and blend until small crumbs form. Set aside to use for filling.
On a floured surface, roll out muffin dough, adding additional flour as needed. Roll into a 12”x18” rectangle. Spread brown sugar crumb mixture all around the dough. Roll the dough lengthwise. Cut into 12 equal slices.
Place slices into muffin tins, cut side up. Bake for 12 minutes or until toothpick or cake tester inserted into center of muffin comes out clean.
Prepare the icing by blending powdered sugar and milk until creamy smooth. Set aside. Allow muffins to cool for 5 minutes before removing to a wire rack as the sugar will be very hot.
The icing can be drizzled over immediately if you wish to serve these muffins warm or wait util they are cooled.