Combine water and 2 tablespoons juice. Working with 1 artichoke at a time, cut off stem to within 1 inch of base; peel stem. Remove bottom leaves and tough outer leaves, leaving the tender heart and bottom. Remove fuzzy thistle from bottom with a spoon; discard. Cut artichoke into quarters lengthwise. Place artichoke quarters in lemon water. Repeat procedure with remaining artichokes. Drain.
Heat oil in a large Dutch oven over medium-high heat. Add shallots; sauté2 minutes. Add garlic; sauté seconds. Add artichoke quarters. Reduce heat; cook 5 minutes, stirring frequently. Add 1/4 cup lemon juice, wine, capers, and broth; bring to a boil. Cover, reduce heat, and simmer 10 minutes. Uncover and simmer 15 minutes. Stir in parsley.