Cream together butter, oil and sugars. Add egg, milk and vanilla extract. Mix well.
Stir together flour, baking soda, salt and cinnamon. Gradually add dry ingredients to creamed mixture. Mix well. Stir in cornflakes, oats, chocolate chips, cherry chips and nuts.
Drop by rounded spoonfuls onto baking sheet lined with parchment paper.
Bake at 350º for 10 to 12 minutes or until golden brown.