Marinate the Chicken: Combine onion, bell pepper, scallions, garlic, brown sugar, paprika, allspice, ginger, and salt/pepper in a bowl. Add the chicken and browning sauce, mixing thoroughly. Marinate for at least 2 hours, preferably overnight.
Brown the Chicken: Sear chicken pieces in hot oil until browned on all sides, then set aside.
Prepare the Stew Base: In the same pot, sauté the marinade mixture until tender. Add back the chicken, then introduce carrots, tomato sauce, thyme, bay leaves, scotch bonnet, and chicken stock.
Stew the Chicken: Simmer covered on medium-low for 1.5 to 2 hours until the chicken is tender.
Finalize: Remove the scotch bonnet, bay leaves, and thyme stems. Adjust the gravy by simmering if thicker consistency is desired.