Preheat oven to 350 degrees F. Spray the muffin tins with a non-stick cooking spray or grease them with shortening
In a medium bowl sift together the flour, baking powder, salt, and nutmeg and set aside.
In a small bowl slightly beat the egg, mix in the 1/2 cup sugar, 1/3 cup melted butter, milk, and vanilla. Add the wet ingredients to the flour mixture and mix just until combined. If the batter has some lump that is fine.
Divide the batter between the 24 mini tin cups. Place in the preheated oven for 12 to 14 minutes or until a wooden pick inserted comes out clean.
Leave the muffins in the tins for 3 to 5 minutes on a cooling rack. Remove and set the muffins on the cooling rack
While the muffins are cooling melt the remaining 6 tablespoons of butter in a small bowl and combine the remaining 1 cup of sugar and cinnamon together in a large bowl.
Dip the muffins in the butter, making sure to coat the whole muffin. Then roll the muffin in the sugar and cinnamon, coat well. Enjoy.