1. Bring all ingredients to a boil in an 8- to 10-quart heavy pot, covered. Reduce heat and gently simmer, partially covered, until chicken is very tender, about 3 hours.
2. Remove chicken and reserve for another use. Pour stock through a fine-mesh sieve lined with a triple thickness of cheesecloth into a large bowl and discard vegetables. Cool stock, uncovered, and chill, covered, then scrape congealed fat from chilled stock.
3. Cooks' note: · Stock can be chilled 3 days or frozen 1 month.