Place hen in large pot and add water to cover by about 4 inches.
Bring to boil. Reduce heat to low and skim off any scum.
Simmer for 1 hour, skimming as needed.
Add remaining ingredients and partially cover.
Simmer for 4 hours.
Remove from heat and discard solids.
Strain through a fine-mesh sieve lined with damp cheesecloth into large pots or bowls.
Discard as much fat as possible.
Ladle into storage containers (1-cup, 2-cup, or 4-cup) and freeze.