French Spring Soup

Name: French Spring Soup
Ingredients: 4 Tablespoons Butter; 1 pound Leeks, Chopped; 1 whole Onion, Chopped; 1 clove Garlic, Minced; 8 ounces, weight Cremini Mushrooms, Sliced; 3 whole New Potatoes, Chopped; 2 whole Large Carrots, Chopped; 1 bunch Fresh Asparagus, Cut Into 1/2 To 1 Inch Slices; 1 quart Water; 1 quart Vegetable Or Chicken Broth; 1 teaspoon Kosher Salt; 1 teaspoon Ground Pepper; 1 pinch Dill; ⅓ cups Barley; 9 ounces, weight Fresh Spinach, Roughly Chopped; 1 cup Half-and-half; ¼ cups Sherry (optional)