From what I can see they were made for many if not all regiments that fought during the war. Here is the information on who they were made by and when: Lithographed by Sarony, Major & Knapp, New York. Published March, 1864 by J. C. Fuller & Company, Baltimore. I can't find any information yet on who they were given to or where they may have hung. I'll let you know if I find anything else, though.
In the "Ownership and History" section of the page above it states the following: "This print was given to the Staten Island Historical Society in 1937 by Horace E. Buell. Horace E. Buell was a brother of Henry V. Buell (1845-1864) and nephew of Bennett H. Buell (b. 1837), whose names are among those listed as members of the company."
These could have been printed by a number of different publishers around the country during the war and either sold to or gifted to members of different regiments to memorialize their service.
That is a cool looking piece of Historical Art and document as well. I agree with what has been said here. I have seen pics of some of these in the past and they were a presentation certificate or document given to members who served during the American War Between the States showing ones regiment and company and acknowledging their service. Do you own this?