Cream butter, brown sugar, vanilla and eggs in a large bowl. Add persimmon puree, stirring until blended.

Stir together dry ingredients in a separate bowl. Add dry ingredients to persimmon mixture a third at a time, stirring just until flour is incorporated. Stir in nuts.

Lay out plastic wrap on a large smooth surface. Place the cookie dough on the plastic wrap and form into a long cylindrical log, wrapping the dough completely with the plastic wrap. Place in freezer. Chill at least a couple of hours, until frozen or almost frozen.

Preheat oven to 375°F When dough is fairly solid, unwrap from plastic wrap and slice with a sharp knife, 1/4" thick rounds. Lay out cookie dough rounds on stick-free cookie sheets, leaving at least an inch between the cookies. Bake for 10-12 minutes or until cookies spring back when lightly touched in center. Let cool on baking racks before frosting.

When cookies have cooled, lay out over a sheet of wax paper. Sift confectioner's sugar and then whisk with 2 Tbsp of milk until smooth. Add 1 Tbsp of persimmon puree and 1 tsp of grated orange peel and mix until smooth. Dip spoon into glaze mixture and dribble over cookies. Let harden and serve.