These are tender and delicately flavored cookies - the light green color and chocolate drizzle make them stand out on a cookie tray. In a large bowl, cream together the butter, sugar, and cream cheese until light and fluffy. Beat in the egg and vanilla. Cover dough, and refrigerate for at least one hour for easier handling. Grease cookie sheets.
Place cookies on prepared cookie sheets.
3 Bake for 9 to 12 minutes in the preheated oven, or until set and very lightly browned on bottoms. Cool completely on a wire rack. In small saucepan over low heat, melt together chocolate and shortening, stirring constantly until smooth and well blended. Drizzle a small amount of chocolate over each cookie. Allow the chocolate to set before storing.