I'm not sure if converged grenadier battalions had battalion guns either, mind you. My feeling is that those armies that had a "permanent (war footing) grenadier battalion structure", for instance the Prussians and Russians may have allocated battalion pieces to those units, but it becomes more complex where you have ad hoc grenadier units pulled together for a specific action. That having been said, we've tended to assume that everyone has battalion guns.
Hello rebel, Not so big as is sometimes thought. These guns were based on the "new invention" first introduced in the late 17th century. Shorter lighter barrels and with all the improvements that had been made since then. Prussian infantry were not universally issued with the 6 pounder, there weren't enough to go round and losses meant that a high relaiance was put on the 3 pounder used previously for much of the war. A 6 pounder with carriage weighed in at some 900 pounds, a 3 pounder at 450-500 pounds. Barrel lengths were around 4 to 5 feet. Not that big. Many surviving gun barrels for the period are for garrison or naval guns where a longer barrel was required. Many French guns continued to be of the old invention with 4 pounders weighing 1500 pounds and 7 feet long! See the links below that go into greater detail on guns and the numbers in which they were issued in the Prussian Army.
To further this thread, I have copied the below from a thread about a different subject which wandered into battalion-gun territory ....
For completeness and this who haven't read this different subject (Evading Light Troops), here were my thoughts (plus some further information for those who have read the subject).
Alas, my knowledge on the matter is not of sufficient depth to arrive at a definitive conclusion.
My own thinking is probably influenced by a couple of factors. My introduction to the era was made some 40 plus years ago with Duffy’s “The Wild Goose and the Eagle: A life of Marshal von Browne, 1705-1757.” For some reason, I still recall one passage where the order, “Grenadiers heraus!” (“Grenadiers out!”) was given to the regiments in the Austrian battle line and all of the Grenadier companies stepped forward and marched off to form their converged grenadier battalions. Given that 2 companies were being syphoned off leaving 12 musketeer companies behind, I naturally assumed that the majority would retain the battalion guns and not the minority. This seemed all the more plausible given that Austrian converged grenadier battalions at the time were often formed on an ad hoc basis.
However, I suspect there is no definitive answer here and whether or not a grenadier battalion was equipped with battalion guns would depend on the circumstances at the time of its formation; a hastily formed battalion being less likely to have guns than one formed at the outset of a campaign when a degree of forward planning and administration would have been possible to ensure that the necessary equipment and personnel were allocated to the unit. Is it possible that guns could also have been temporarily loaned to units for specific missions?
In addition to your own sources, I have since come across a (secondary) source that talks about a Hessian grenadier battalion in the AWI having battalion guns. Although this related to a later conflict, it is highly plausible that it must also represent practice in earlier conflicts such as the SYW or WAS in circumstances where it was possible to fully equip such a unit (clearly, in this case, there was time to plan, prepare and equip a whole expeditionary force to send across the Atlantic).
So, where does this leave us for the game? For the majority of games I’m perfectly happy to keep things simple and assume grenadier units have battalion guns. Nevertheless it’s also handy to know that in some scenarios it is plausible to have such units without battalion guns.
Since then, I've tracked down one of the AWI examples:-
[At The Battle of Bennington, 1777] Lt.Col.Breyman was ordered to march with his corps (the battalion of grenadiers and Barner’s battalion, about 500 men) and two pieces of cannon …
~ source: The Edinburgh Magazine, and Literary Miscellany: A New Series of the Scots Magazine, Volume 40 [sorry, lost the exact issue date - the Scots Magazine was first issued in 1739]
This is arguably still not conclusive. Barner's battalion may have been the owner of the guns but Barner's was a light infantry battalion so seems unlikely. The other possibility is that the guns were attached to the "the corps" and not specifically to the grenadiers (which would accord with my speculative 'specific mission' theory).