Place all the pork ingredients in a large pot like a Dutch oven with enough water to cover. Bring to a boil and skim any scum that rises to the top. Reduce to a simmer and cook for 2 hours, adding more water as necessary.
Place chicken ingredients in a pot with enough water to cover. Bring to a boil. Reduce to a simmer and cook for 20 minutes, until chicken is cooked through.
Now let's make the Salsa Verde.
Meanwhile, preheat oven to 400 F.
Brush the bottom of a casserole dish with a little olive oil.
Add tomatillos, jalapenos and poblano.
Roast in oven for 20 minutes.
In a food processor, combine roasted peppers with onion, garlic and cilantro. Blend with 1 cup of water until smooth.
Remove meat and place broth of both chicken and pork in freezer for 30 minutes. Fat will rise to the top. Remove the fat and place the broth in a large pot. Add additional water if necessary to yield 6 cups. Add the cooked chicken and pork.
Add salsa and hominy. Add salt.
Simmer for 1 hour.