Not all American presidents have presidential libraries. In fact, only presidents since Herbert Hoover have presidential libraries administered by the National Archives and Records Administration. As of 2016, there are 13 such libraries. Several other, independent presidential libraries exist, most notably the Jefferson library at Monticello and the Abraham Lincoln Presidential Library & Museum in Springfield, Illinois.
As one of the best-loved and best-regarded presidents in American history, Theodore Roosevelt certainly deserves a national presidential library.