My friend, Kristin, sent me the original recipe for these. I made them per the recipe the first time but discovered that they needed "something" in the dough so my version includes a dash of salt and some vanilla or almond flavoring.
Beat the butter and sugar until light and fluffly. Beat in the eggs one at a time and beat well after each one is added. Add the vanilla or almond flavoring. Combine the dry ingredients and add to the dough mixing until well incoporated.
Divide the dough into 5 sections. Roll each until about 12 inches in length using a little flour on your hands and the counter so it doesn't stick. Place on parchment lined cookie sheets.
Make an indentation along the center of each log and fill with preserves. (See photo) Bake on center rack of the oven for about 15 minutes or a little less at 400 degrees.
Mix the powdered sugar and water and spread over the warm cookie logs. Cut into 1/2 inch wide diagnol slices while they are still warm.