Morel and Asparagus Spaghetti

Name: Morel and Asparagus Spaghetti
Ingredients: 1⁄2 oz. dried morel mushrooms (about 5 mushrooms); 1 lb. spaghetti; 1⁄4 cup olive oil, plus more for drizzling; 3 tbsp. unsalted butter; 6 cloves garlic, thinly sliced; 3 medium shallots, finely chopped; 1 bunch asparagus (1 pound), ends trimmed and cut into 1-inch pieces; 3⁄4 cup vegetable stock; 1⁄2 cup heavy cream; Juice and zest of 1 lemon; Kosher salt and freshly ground black pepper, to taste; 1⁄4 cup grated parmesan cheese, plus more for serving