A barbeque grill and oven or food smoker having an offset firebox configuration is disclosed. Example embodiments include: an oven having an enclosed interior region for cooking food items; an offset firebox sharing at least a portion of a side of the oven, the offset firebox having a first opening over which a removable grill may be placed, the firebox having a second opening through which airflow may travel from the firebox into the oven; and an oven lid configured to produce an opening in the top of the oven of any desired site the opening of the oven lid causing an increase in the flow of heated an from the firebox into the oven.