Easy Chicken with greens

4 tablespoons butter 2 -4 tablespoons flour 2 -3 cloves fresh minced garlic (optional) 1 3/4 cups half-and-half cream (OR 3/4 cup milk with 1 cup half and[...]

1 medium carrot , peeled and sliced 1 stalk celery , chopped 1 medium onion , finely chopped 1/2-3/4 teaspoon dried thyme 1 (10 ounce) can mushrooms , well[...]