In a large bowl, with a mixer on high speed, beat 3/4 cup butter with brown sugar until well blended.
Add egg and molasses; beat until fluffy.
Add flour mixture. Beat on low speed to blend, then on medium speed until well mixed.
Divide dough in half, shape each half into a ball, wrap in plastic wrap, and pat into a flat cake. Freeze about 20 minutes, or chill 1 to 2 hours until firm.
Shape dough into 1-inch balls.
Roll to coat with granulated sugar, and set at least 2 inches apart on buttered baking sheets.
Bake cookies in a 350 oven until slightly darker brown on the bottom, about 10 minutes (if using 1 oven, switch pan positions after 5 min.).
Cool on pan about 5 minutes, then transfer cookies to racks to cool.