The other field gun you mention, at Spotsylvania, is possibly a False Napoleon. If so, this work was done in Gettysburg PA by Capt. Gilbert to fill need for ore napoleon guns for the new parks. It was partially reamed to a larger diameter, in the first four inches as you say, also about the time of the formation of the military parks. Your description and the fact the barrel is a abrupt transition from the originial bore diameter to the larger bore modification was common when a gun was altered for the parks. This was how they altered a field gun to appear as another. I believe, from your information, to be a bronze 6 pounder field gun built in 1847 by Ames Foundry in Springfield MA. When field guns were altered, it was possible for stampings to be erased in the process. The gun registry number does not appear in your description as well as the manufacturers name. Springfield identifies this gun as Ames built. Wayne Stark's list, now operated by Jim Bender, lists a Ames M1841 at Hazel Grove but it was built in 1842 with registry number 43.
This is the best I can provide from here with the info you sent.
Thanks Keith
Ron