Combine shortening, brown sugar, milk and vanilla in large bowl. Beat at medium speed of electric mixer until well blended. Beat in egg. Combine flour, salt and baking soda. Mix into shortening mixture until just blended. Stir in chocolate chips.
Drop by rounded measuring tablespoonfuls 3 inches apart onto ungreased baking sheet.
Bake 8 to 10 minutes for chewy cookies, or 11 to 13 minutes for crisp cookies. Cool 2 minutes on baking sheet on a cooling rack. Remove cookies to rack to cool completely.