Preheat oven to 350 degrees F. Using a sharp knife, trim the top off of each head of garlic, keeping the bulb intact. Place each bulb in a square of Reynolds Wrap® Aluminum Foil. Drizzle each bulb with 1 tablespoon of olive oil, sprinkle with salt, pepper and about 1 teaspoon of thyme leaves. Wrap foil around bulbs and place on a baking sheet. Bake for 30-35 minutes or until garlic is very tender. Open foil carefully by cutting along top with a sharp knife, allowing steam to escape; then open top.
In a large pot over medium heat, add 2 tablespoons of olive oil. Add chopped shallots and saute on medium-high heat for 5 minutes. Add potatoes, remaining thyme and bay leaf. Squeeze the soft roasted garlic cloves into the pot. Saute for 3 minutes over medium heat. Stir in broth and 1 cup cream. Bring to boil and then reduce heat and simmer, stirring occasionally for 30 minutes or until potatoes are very tender. Remove from heat; let stand 10 minutes to cool. Remove thyme and bay leaf.
For the prosciutto, preheat the oven to 350 degrees F. Place slices flat on a foil-lined baking sheet. Bake for about 15 minutes, or until crispy. Remove from oven and let cool slightly. Break the prosciutto into small pieces and set aside. In a blender, puree soup in batches until smooth; return to pot. Stir in remaining cup of cream and bring to a simmer. Season to taste with salt and pepper.
Ladle soup into bowls and garnish with crispy prosciutto, lemon zest, a drizzle of olive oil and a sprinkle of smoked paprika. Finish with a few leaves of parsley.