Chip:
As you are aware, all of the different civil war field guns had a range unique to that type. But you may have noticed that they all have ranges that were about one half mile (12 pounder howitzer) to just over one mile (Parrott and 3" ordnance rifle)at a elevation setting of 5 degrees. There is a reason that ranges were stated at this elevation setting and not at a higher elevation. The reason is sight, which means that civil war artillery was a line-of-sight weapon. They had to see their target to observe the fall of the shot. If they could not see the impact of the shot, then they were firing blindly with almost no probability of hitting anything. General Henry Hunt, the recoginized best artillery officer of the civil war defined the limit of observation as 1,200 yards. This is the farthest a man can be seen and shot at with any efficiency. So the long ranges and higher elevations that you may have seen for the field guns of the civil war were used seldom. The american field artillery was behind the europeon armies in development of the artillery service and remained so until the First World War. Two developments occurred at this time that changed everything, the first was the use of recoil cylinders that absorbed the shock of firing and the guns didn't have to be relayed after each firing. The other change was the use of field telephones that allowed the use of a forward observer. These changes, together with newer developed field guns extended the effectiveness of the field artillery. This short discussion of the limitations of range helps to explain the following table of artillery ranges used during the civil war.
These ranges are compiled from actual civil war firing missions for field artillery only, excluding siege, coastal guns and naval warfare guns.
Limit of vision
1,200 yards 90% of all civil war firing missions.
0 to 800 yards 78% ditto
0 to 400 yards 43% ditto
Most used range
500 to 600 yards 14%
300 to 400 yards 10%
400 to 500 yards 12%
500 to 600 yards 14%
600 to 700 yards 7%
700 to 800 yards 5%
This information of firing missions is original research based on a wide variety of sources and, although on-going, has not changed to any degree with the addition of new information. I have a brakedown by ranges from 0 to 2,000 yards if you need. The header to your post states "Engagement Ranges, Typical, and Maximum Effective Ranges". I am saying that the ranges mentioned above are what your messahe header requested. What is not provided is a breakdown by type which I did not compile and do not have. I hope this may be of assistance to you.
Ron