Browned Butter Sage Dressed Squash Gnocchi

Name: Browned Butter Sage Dressed Squash Gnocchi
Ingredients: Squash Gnocchi; 1 cup cooked butternut squash. method follows; 1 cup cooked potato, method follows; 1 1/2 cups flour + extra for rolling; 1/2 teaspoon ground pepper; 1/2 teaspoon salt + more; 1 lg. egg; 1/2 cup coarse corn meal for dredging; Browned Butter & Sage Sauce; 1 cup butter; 8 fresh sage leaves; 1 cup button mushrooms, sliced; 1 cup asparagus cut into 2-3 pieces, woody ends snapped off; 1/2 cup grated parmesan or pecorino cheese