Sprinkle chicken halves generously with salt, pepper, and cinnamon. Put chicken in a roasting pan; pour water into pan.
Roast chicken in the preheated oven for 30 minutes.
Whisk maple syrup, lemon juice, and chile peppers together in a bowl; brush chicken with maple syrup mixture. Pour any remaining maple syrup mixture into the pan.
Cook chicken until no longer pink at the bone, juices run clear, and skin is lightly browned, 30 to 40 more minutes. An instant-read thermometer inserted into the thickest part of the thigh, near the bone should read 165 degrees F (74 degrees C).
Brush chicken with butter; bake until skin is crisp, 10 to 15 more minutes.