Wash chicken or chicken pieces thoroughly. Fill large pot nearly full with water. Insert whole chicken or chicken pieces into water and boil until chicken is cooked through.
Remove from heat. Reserve 1 cup of broth. Cut or tear chicken into bite-sized pieces, removing the skin and bones along the way. Clean and wash stock pot.
In clean stock pot, add 2 tablespoons EVOO and chopped white onion. Once it starts to melt, add in cut celery, and allow to melt with onions, approximately 10-15 minutes over a low simmer. Add in cut carrots and reserved chicken broth. Cook for approximately 20 minutes.
Add in canned tomatoes. (I cut the whole tomatoes by hand into smaller pieces - I prefer larger pieces than a pomodoro cut.) Add in cut turnip pieces.
Fill pot with 4-6 cups of chicken broth. Bring pot to boil, and then lower heat. Continue to cook gently with lid partially on pot for several hours, stirring frequently. Season to taste with salt and pepper.
Thirty minutes prior to serving, add in desired amount of orzo. Add in additional chicken broth, as needed, to keep soup brothy.
Just prior to serving, combine chopped parsley and dill and 1 tablespoon or so of fresh lemon juice in a small bowl. When soup is ready to serve, ladle into warm bowls and sprinkle with lemon parsley mixture on top.