The usual incendiary round for field artillery was the shell, commonly referred to as a 'bomb.' It was used to set targets, such as villages, on fire.
The French did use a carcass, and also called it that. There was also a round known as a fireball. Both rounds was usually employed in sieges. They were usually fired from mortars. The composition of the rounds was black pitch, white pitch, mutton suet, linseed oil, and oil turpentine.
The carcass is constructed of two or three hoops of iron that are joined at the top. The hoops are constructed at right angles to each other and form an oval and are attached to a piece of iron at the bottom of the oval.
The fireball is made of a bag of buckram, also formed into an oval and is wrapped in strong cord which give it the necessary shape.
There was also hot shot, known as a 'red bullet' that was heated in an air furnace specifically constructed for the purpose of heating the shot. Artillerymen did not like to use hot shot because of the danger of prematurely igniting the powder which would lead to considerable trouble in the gun position.
Napoleon supervised the construction of furnaces on the Italian front in the 1793 when he was still a captain.
There were also illumination 'rounds' made that were not fired from artillery pieces. These were termed 'tourteaux' or 'tarred tourteaux' and were constructed of the same ingredients as the carcass and fireball. They were used to illuminate places during a siege, were used in the passage of rivers and defiles for illumination and were also thrown into a fortress's ditch at night to illuminate whatever was going on, such as an assault by the besieging force.
The particulars of the construction of carcasses and fireballs can be found in the period French artillery manuals.