Place potatoes into a 6 qt slow cooker. Stir in wine, chicken stock, shallots, garlic and thyme; season with salt and pepper, to taste. Add chicken to the slow cooker in an even layer along with excess fat.
4 Cover and cook on low heat for 5-6 hours, or until the chicken is completely cooked through. Add broccoli during the last 30 minutes of cooking time.
5 Remove chicken, potatoes and broccoli from the slow cooker, cover and keep warm.
6 In a small bowl, whisk together heavy cream, lemon juice and cornstarch. Stir into the slow cooker. Cover and cook on high heat for an additional 10-15 minutes, or until the sauce has thickened.
7 Serve chicken, potatoes and broccoli immediately with cream sauce.