In large bowl beat butter, sugar, vanilla and egg until light and fluffy. Sift in flour continuing to stir until dough comes together. Roll into ball. Wrap in plastic and put in refrigerator for 30 minutes.
Heat oven to 350 F. Divide dough into 8 equal pieces. Roll each piece into rope 12-14 inches in length. Cut each rope into 4 x 3 inch pieces (this will be your body) and 4 x 1/2 inch lengths (this is your head) of dough. Roll the head pieces into balls and attach to the bodies.
On parchment lined cookie sheet, place mummy's allowing space in between. Press 2 mini chocolate chips, point sides down in each mummy head for eyes.
Bake 8-12 minutes or until light golden brown. Remove from cookie sheets to cooling rack. Cool completely.
Pour white chocolate chips into microwave safe bowl and microwave 40-60 seconds or until softened, stirring at 20 second increments. Pour into small ziplock bag and cut off tiny corner of bag. Squeeze to drizzle frosting in a crisscross pattern over cookies to look like mummy bandages. Let stand so chocolate can set.
Sometimes I tint the icing with orange or green food colouring to change it up a bit.