Summon the ghosts of Christmas Past

As a follow up to my earlier post today, I thought it might be worth adding the recipe for those
!@#$ nutmeg logs that, to me, summon the happy ghosts of my Christmas Past:

Nutmeg Logs

1. Preheat oven to 350 degrees F. Line two cookie sheets with parchment paper.
2. Whisk together 3 cups flour and 1/4 teaspoon salt in a small bowl.
3. In a large mixer bowl, beat 2 sticks softened unsalted butter until creamy. Add 1/4 cup sugar and beat well for about 3 minutes. Add 1 tablespoon rum extract, 1-1/2 teaspoons nutmeg, and 1 teaspoon vanilla extract; mix well. Beat in one large egg.
4. Gradually add flour mixture until just blended. Take dough and shape into logs by rolling into 1/2 inch diameter ropes, then cutting ropes into 3-inch lengths.
5. Place logs 2 inches apart on prepared cookie sheets, and bake about 13 minutes, or until light golden brown on bottom and edges.
6. While cookies are baking, prepare icing by beating 3/4 stick of softened butter until creamy. Add 2 cups powdered sugar, 2 tablespoons heavy cream, 2 teaspoons rum extract, and 1 teaspoon vanilla extract until creamy, about two minutes.
7. Remove cookies from oven when finished, then place on cooling racks. While still warm, spread icing on cookies with a small spatula. The icing, which is thick and fluffy, will melt and harden onto the cookie while cooling (making them easy to layer in tins). Sprinkle with a dash of nutmeg while the icing is still wet. Allow cookies to cool and icing to harden before serving.