1. Finely chop chocolate-covered toffee pieces. Set aside.

2. Beat butter or margarine in a large mixing bowl with an electric mixer on medium to high speed for 30 seconds. Add sugar; beat till combined. Beat in milk and vanilla. Beat in as much flour as you can with the mixer. Stir in remaining flour and the chopped chocolate-covered toffee pieces with a wooden spoon. If necessary, cover and chill 1 hour or till easy to handle.

3. Shape dough into 1-inch balls. Place 1 inch apart on ungreased cookie sheets. Bake in a 325 degree oven for 15 to 20 minutes or till bottoms are lightly browned. Cool on wire racks.

4. Combine chocolate pieces and shortening in a small saucepan over low heat. Heat and stir just till chocolate is melted. Drizzle over cookies on plate.