Don't know of any per se. The first naval cannons were ordered by the US Congress for the US Navy were perhaps also made at the Federal "licensed" West Point Foundry and subsequent ordnance there was proofed and fired, also used shipboard, i.e., a small Parrott cannon fired the first shot at the C.S.S. Alabama and struck below its waterline, fired from the U.S.S. Kearsarge off the French coast of Cherbourg, where some of the Confederate crew are still buried.
I once heard that the un-indexed documents to the West Point Foundry, Cold Spring, NY described by Edward Rutsch, an industrial archeologist, as taking 100+ linear feet of shelf that had then yet to be indexed for research, in Washington, D.C. Also reported as "Classified". I'm not sure what type of scientific proofing went on as there was very little left of the "iron age" in my recollection from the EPA ordered "Marathon Battery Superfund National Priority" cleanup of cadmium once for the NIKE missiles that ringed many cities that impacted the periphery of the National Register foundry that I worked on. One large artifact was the "Swamp Angel" gun platform, or it's prototype.
I also read the British "ships-of-the-line" were painted red on the gun-deck interiors to keep the crews from over-reacting when blood was spilled in the exchange of cannon fire, so perhaps memory of it might be different than reality.