How to Make It
Combine broth and whipping cream in a saucepan over medium-high heat; bring to a boil, and whisk in grits. Reduce heat to low; cook, stirring occasionally, 5 to 7 minutes or until thickened. Remove from heat; stir in cheese, salt, pepper, and 4 tablespoons butter. Set aside, and keep warm.
Brown sausage in a skillet over medium-high heat; remove from pan with a slotted spoon, reserving drippings in pan, and set aside.
Melt remaining 2 tablespoons butter in hot drippings in skillet. Add shallots and garlic; cook 2 minutes. Add shrimp, and cook 2 to 3 minutes. Stir in thyme and next 3 ingredients; cook 2 minutes.
Stir reserved sausage into shrimp mixture. Spoon reserved grits onto individual plates or bowls; top with shrimp mixture. Sprinkle with parsley and green onions. Serve immediately.