Place 3 carrots in a pot. Cover with water and add 2 teaspoons salt. Bring to a boil and simmer for 20 minutes. Carrots should be tender to the point of a knife.
Line a bowl with cheese cloth.Place carrots in a food mill and strain on top of the cheesecloth.
Tie the corners of the cheesecloth. Push a stick through it and let it hang in a deep vessel to drain the pulp of excess moisture for 2 hours.Lift and press to extrude more liquid. Use the liquid for vegetable stock in soup. Place the pulp in a saucepan. Add heavy cream, butter, salt, and pepper to taste. Heat slowly on low heat and serve hot.