1. Preheat oven to 325 degrees.
2. In bowl of an electric mixer, cream butter, sugars, extracts and eggs until light and fluffy (about 2 mins.).
3. Add flour, baking soda, cream of tartar and salt. Mix until well combined.
4. On a lightly floured counter, roll out 1/4″ to 1/2″ thick.
5. Bake on lined cookie sheet for 10-12 minutes, or until bottoms just barely turn golden brown. They will look slightly underbaked. Cool and frost.

Frosting:

1.  In the bowl of an electric mixer, beat 2 cups of the powdered sugar, the butter, half-n-half, vanilla, and salt in the bowl until they are smooth and creamy, 2 to 3 minutes. Gradually add the remaining 1 1/2 cups powdered sugar and beat until the frosting is a good spreading consistency, scraping the sides and bottom of the bowl often (you made need to add more cream). Add food coloring if using. Mix well.