Heat 1 teaspoon oil in a Dutch oven over medium heat. Add the onion, and cook 10 minutes or until tender, stirring occasionally. Add chopped parsnip, water, carrot, and broth; bring to a boil. Reduce heat, and simmer 50 minutes or until vegetables are tender. Remove from heat; let stand 5 minutes.
Place half of carrot mixture in a blender; process until smooth. Pour pureed carrot mixture in a large bowl. Repeat procedure with remaining carrot mixture. Stir in salt and pepper.
Heat remaining 5 teaspoons oil in a small saucepan over medium-high heat. Add parsnip slices; cook 5 minutes or until lightly browned, turning occasionally. Drain on paper towels. Sprinkle parsnip chips and chives over soup.