Grilled Artichokes with Grilled Lemon Mayonnaise

INGREDIENTS

• 1/3 cup balsamic vinegar
• 1/4 cup salt, plus 1 teaspoon
• 1 tablespoon chopped parsley leaves
• 1/2 teaspoon salt
• 2 lemons, cut in 1/2
• Grilled Lemon Mayonnaise, recipe follows
• 1/4 teaspoon freshly ground black pepper
• 1 cup olive oil
• 4 ounces herbed goat cheese, crumbled
• 1 tablespoon chopped garlic
• 4 large artichokes, rinsed well, top third removed, and leaf tips trimmed