If making stock, combine turkey carcass and water in a large pot. Bring to a boil, then reduce heat and simmer for at least 1 hour. Strain and discard solids.
In a large pot or Dutch oven, melt butter and oil over medium heat.
Add onion, carrot, and celery and cook until softened, about 5-7 minutes.
Add garlic and thyme and cook for 1 minute more.
Pour in Bourbon and cook until slightly reduced, about 2 minutes.
Add turkey stock, bay leaf, and wild rice. Bring to a boil, then reduce heat and simmer for 45-60 minutes, or until rice is tender.
Stir in turkey and heat through.
Season with salt and pepper to taste.
Remove bay leaf before serving.
Garnish with cranberries and parsley.