A quick answer for you is that there are probably a lot of cachets made for Presidential Inaugurations. I suspect all of the major cachetmakers (i.e. Artcraft, Artmaster, Fleetwood, etc.) all had special covers for the specific occasion canceled both in Washington, DC and in their home state and/or birthplace.
Artcraft is probably the most common cachetmaker and they used to issue a small pamphlet with all of the cachets and cancels listed for each President. I have one in my files somewhere but can't put my hands on it at this moment. Nevertheless, most of the same information is now on-line at this link:
http://www.washpress.com/showSpecia...categoryId=5Hope this is helpful.