Cream of Mushroom Chowder Recipe

Name: Cream of Mushroom Chowder Recipe
Ingredients: 1/2 lb bacon; 1 tbsp olive oil; 1 large onion, chopped; 1 bunch celery heart, chopped; 2 cups carrots, chopped; 1 tsp salt; 1 tsp pepper; 2 (12 oz) packages sliced mushrooms, chopped coarsely into 1/4 inch pieces; 3 garlic cloves, minced; 5 medium potatoes, cubed (optional -- i leave skin on ); 1 quart chicken stock; 1 tsp rosemary; 1 tsp thyme; 2 eggs, beaten; 2 cups half-and-half; 1 tsp nutmeg; 2/3 cup parmesan cheese; 1 bunch green onion, sliced for garnish