The Library was discovered at several sites in Nineveh over a very long period. Most of this history pre-dates the invention of modern archaeology. Nevertheless, there is a lot of information that can be gleaned from contemporary reports, and from analysis of the finds.
The excavations at Nineveh, 1904-05. Photo by L.W. King. Copyright Trustees of the British Museum. CC BY-NC-SA 4.0 [https://www.britishmuseum.org/terms-use/copyright-and-permissions]
Jonathan Taylor
Jonathan Taylor, 'The archaeology of the Library', Ashurbanipal Library Project, The Ashurbanipal Library Project, Department of the Middle East, The British Museum, Great Russell Street, London WC1B 3DG, 2022 [http://oracc.museum.upenn.edu/asbp/ArchaeologyoftheLibrary/]