Vegan Parsnip Chowder

Name: Vegan Parsnip Chowder
Ingredients: 1 1/2 tablespoons olive oil; 1 large onion (chopped); 4 medium or 6 smallish potatoes (any variety; red-skinned are good, scrubbed and diced); 1 pound parsnips (peeled and diced); 3 medium carrots (peeled and sliced); 2 large celery stalks (diced); 32- ounce carton vegetable stock (or 4 cups water with 2 vegetable bouillon cubes); 1 tablespoon all-purpose seasoning blend (such as Frontier or Mrs. Dash); 2 cups unsweetened nondairy milk; 1/4 cup finely chopped fresh parsley (or more, to taste); 2 tablespoons finely chopped fresh dill (or more, to taste); Salt and freshly ground pepper to taste