Add ½ cup ale to the pot, stirring and scraping the bottom of the pot with a wooden spoon to dislodge the caramelized drippings, then add the remaining ale and the broth.
Return the meat to the pot and bring the stew to a boil, then lower the heat, cover, and continue to cook for about 1 hour, until the meat is tender.
Add the rutabaga, carrots, and parsnips, and cook until the vegetables are tender, another 20 to 25 minutes.
In a small bowl, combine the butter and flour until fully blended. Add the mixture by the tablespoonful to the stew, and continue to cook until slightly thickened.
Add the green beans and cook for another 3 to 5 minutes, until crisp-tender.
Season to taste with salt and pepper, stir in the parsley, and serve.