Prepare Chicken - Season chicken pieces with salt and pepper. Heat vegetable oil and 1 tbsp in a large pot or skillet over high heat. When butter begins to bubble, sear chicken in batches, skin-side down, until golden brown and crisp, 5-7 minutes. Repeat on other side. Remove to a plate skin-side up.
Prepare Sauce Base - Preheat oven to 400°F (200°C). Pour out all but 2 tbsp chicken fat from the skillet. Turn heat to medium and cook the onion and bell pepper until translucent, about 5 minutes. Scape browned bits on the bottom while cooking. Add garlic and cook another 2 minutes. Add paprika and flour, and stir until mixture become fragrant and the flour taste has been cooked out, 4-5 minutes.
Cook Dish - Add tomatoes and broth, whisk until smooth. Pour any collected juices from the cooked chicken, mix, and then add chicken pieces skin-side up. Place skillet in oven and cook until chicken has cooked through and sauce has thickened a little, approximately 25-30 minutes.
Serve - Boil 1 lb egg noodles. When done and drained, mix in 2 tbsp butter. Place chicken pieces over noodles. Pour sour cream into the pan and whisk. Pour sauce over chicken and serve.