In a separate bowl, beat eggs. Set aside 2 tablespoons of beaten egg. Mix ½ cup water with remaining beaten eggs and gradually beat into the flour mixture. Turn the moist dough out onto a floured surface and knead until smooth, about 2 minutes. Divide in half and form 2 logs about 10 inches long. Place on the baking sheet and press down to flatten slightly. Brush logs with reserved beaten egg.
Bake for 25 minutes or until lightly golden. Remove from oven to cool slightly, about 5 minutes. Reduce oven temperature to 325 degrees. Using a serrated knife, carefully cut the logs into ¼-inch thick slices and return slices to the baking sheet. (You may need to do this in 2 batches.) Bake for 10 minutes, then turn over and bake for another 10 minutes. Store, tightly covered, for up to 3 weeks.
Note: This classic hors d'oeuvre is from the legendary Southern cook Edna Lewis, and her protégé, Scott Peacock, in "The Gift of Southern Cooking: Recipes and Revelations From Two Great American Cooks." These actually improve in flavor if made a day ahead.