note: please see comments in alterations (beneath comments section below)
For the cookies, cream together butter and brown sugar in a large bowl.
Mix in egg, extract and half-and-half.
Add dry ingredients, folding in diced apples lastly.
Drop by spoonful onto lightly greased baking sheet.
Bake at 350 degrees for 10 minutes, just until cookies are lightly browned on the bottom.
Remove cookies from baking sheet and cool on waxed paper. When cool, frost with the Cinnamon Glaze.
To prepare the frosting, melt the butter in a medium bowl in the microwave.
Stir in powdered sugar, cinnamon and enough half-and-half to make it a nice spreading consistency.
NOTE: I know the instructions say to frost the cookies when completely cooled, but I like to spread the frosting while they are still just slightly warm, allowing the frosting to “glaze” onto the cookie and absorb into the cookie itself just a bit. You can try it, if you like, and see which way you prefer.