"From an uneducaetd eye, it looks like the cannon is "too small" for the carriage...?"
Jim, You are right. No King's Howitzer carriages have survived and there are no detailed descriptions of the carriage from the period. Most scholars believe that they were a scaled down version of the British 8 inch or 5.5 inch howitzer. This barrel is about 17.5 inches long. If I scaled it directly from a Brit 8inch howitzer, the wheels would only be about 28 inches in diameter. (These are 32 inches)
Another issue in speculating what these looked like is how well a grown man can operate the gun. Scaled to a 28 inch wheel, the gun would just be too small to operate without doing it on your knees. With a slightly larger wheel at 32 inches, it can be loaded and operated while standing. So using common sense, the gun still fits the period description of weighing 250lbs or less, but can be sponged and loaded comfortably.
So, yes indeed, the scale of the carriage is slightly larger than the scale of the tube.
Does that all make sense?
Mark