In a large soup pot or dutch oven, melt 4 tablespoons butter. Add the onion and cook for a few minutes, or until it starts to turn brown.
Add the carrots and celery and cook an additional couple of minutes. Add cauliflower and parsley and stir to combine.
Cover and cook over very low heat for 15 minutes. After 15 minutes, pour in chicken stock or broth. Bring to a boil, then reduce heat and allow to simmer.
In a medium saucepan, melt 4 tablespoons butter. Mix the flour with the milk and whisk