Preheat oven to 350°F. and lightly grease 2 baking sheets.
In a bowl whisk together butter, sugar, and egg until smooth. Sift in flour and baking soda and add apricots, sage, cornmeal, and salt, stirring until combined.
Drop tablespoons of dough about 1 inch apart onto baking sheets and bake in batches in middle of oven 10 minutes, or until pale golden. Cool cookies on sheets 2 minutes and transfer to a rack to cool.