Roly-poly santa cookies

1 cup butter (no substitutes)
1/2 cup sugar
1 tablespoon milk
1 teaspoon vanilla
2-1/4 cups all-purpose flour
Red paste food coloring
Miniature semisweet chocolate pieces
1/2 cup shortening
1/2 teaspoon vanilla
2-1/3 cups sifted powdered sugar
1 tablespoon milk
Milk
Red cinnamon candies

1. In a large mixing bowl beat butter with an electric mixer on medium to high speed for 30 seconds. Add sugar; beat until combined, scraping sides of bowl occasionally. Beat in 1 tablespoon milk and 1 teaspoon vanilla. Beat in as much of the flour as you can with the mixer. With a wooden spoon, stir in any remaining flour. Remove 1 cup of the dough. Stir red paste food coloring into remaining dough to make desired color.
2. Shape each Santa by making one 3/4-inch ball and four 1/4-inch balls from plain dough. From red dough, shape one 1-inch ball and five 1/2-inch balls. Flatten the 1-inch red ball on an ungreased cookie sheet until 1/2 inch thick. Attach plain 3/4-inch ball for head and flatten until 1/2 inch thick. Attach four 1/2-inch red balls for arms and legs. Shape remaining 1/2-inch red ball into a hat. Place plain 1/4-inch balls at ends of arms and legs for hands and feet. Add chocolate pieces for eyes and buttons.
3. Bake in a 325 degree F oven for 12 to 15 minutes or until edges are lightly browned. Cool 2 minutes on cookie sheet. Remove to wire racks and cool completely.
4. For frosting, in a small mixing bowl beat the shortening and 1/2 teaspoon vanilla with an electric mixer for 30 seconds. Gradually add 1-1/3 cups of the powdered sugar, mixing well. Add 1 tablespoon milk. Gradually beat in remaining 1 cup powdered sugar and enough milk (3 to 4 teaspoons) to make a frosting of piping consistency.
5. Spoon frosting into a decorating bag fitted with a medium star tip. Pipe mustache, beard, band on hat, and pompom. For nose, attach a cinnamon candy with a small dab of frosting.