Sift together the flours, baking soda, and salt.
Cream The butter with the sugar until light, about 2 minutes. Beat the eggs, one at a time, into the butter. Add vanilla. Scrape down the sides of the bowl as needed, then add the milk a bit at a time. Scrape sides of bowl as needed.
Fold in the flour mixture just to blend. Cover the bowl with plastic wrap and chill for 20 minutes.
Preheat the oven to 375°F. Lightly oil a baking sheet or line it with parchment paper.
Roll tablespoons of the dough into balls, then roll each ball in the cinnamon/sugar mixture. Place the balls on the prepared baking sheet and flatten slightly. Bake for 10 minutes or until golden. Cool on wire rack.
Makes 2 dozen cookies.