Preheat oven to 325F.
Cream butter and sugars until smooth and light. Add in egg and vanilla. Add in oil and mix well. At this point, the batter will look a little strange, but keep going.
Add in the cornflakes, oatmeal, coconut, and nuts. Mix well. Sift together flour, baking soda and salt and add to mixture. Mixture will be soft, chill for 30-60 minutes.
Using a cookie scoop, measure 1 tablespoon of dough and drop onto a parchment lined cookie sheets. Using a fork dipped, flatten the top of each cookie. If the fork begins to stick, dip it into a glass of cold water.
Bake 15-18 minutes (the recipe in the paper said 12 minutes, but in my oven, that was not enough time, or else, I like my cookies a little crispier!). Cool on cookie sheets for a few minutes, then transfer to rack to cool completely.