Step 1
Preheat the oven to 400 degrees F (200 degrees C).
Step 2
Place chicken onion and celery in a Dutch oven. Sprinkle salt over the top of the chicken.
Step 3
Roast chicken uncovered in the preheated oven until chicken is no longer pink inside the skin is browned and an instant-read thermometer inserted into the thickest part of a thigh reads 160 degrees F (70 degrees C) 45 minutes to 1 hour.
Step 4
Transfer chicken to a plate until cool enough to handle. Once cool pick the meat from the bones; set aside chicken breast meat in a bowl for another purpose. Cover bowl of breast meat with plastic wrap and refrigerate. Discard chicken skin.
Step 5
Remove chicken fat from Dutch oven leaving the brown flavor bits in the bottom of the Dutch oven. (See note for reserving drippings if desired.)
Step 6
Place the Dutch oven over medium-high heat. Return chicken bones and dark meat from drumsticks and thighs to the pot. Add garlic cloves ketchup and cold water. Bring to a boil and use a spoon to scrape up and dissolve the brown flavor bits from the bottom of the Dutch oven. Reduce heat to low and simmer for 3 hours adding more water if needed to retain same level.
Step 7
As broth simmers occasionally skim off and discard any foam that rises to the surface.
Step 8
Remove and discard bones meat and vegetables. Strain broth through a fine mesh sieve to serve or use in recipes.