Blend butter and sugar in a large mixing bowl; add egg, blending until fluffy. Mix in molasses and ginger; set aside. Combine flour, baking soda, salt and cinnamon in another mixing bowl; stir into butter mixture. Shape dough into one-inch balls; roll in additional sugar and arrange on lightly greased baking sheets. Bake at 350 degrees for 10 to 12 minutes. Cool on wire racks. Makes about 4 dozen.

GARNISH:  additional sugar