Gently melt 2 ounces of chocolate and 1 tablespoon of butter together in a bowl, placed over a vessel of hot water. Once melted, remove the bowl from the heat and incorporate 1 tablespoon of milk and 1 teaspoon of vanilla extract, stirring well to ensure a smooth and velvety consistency. This versatile mixture can be enjoyed either hot or cold, offering a delightful range of serving options.