The IU Southeast Library provides access to a number of resources that provide access to the full-text of literary works, particularly from the 19th century. The collection on this page includes links to different databases that include the full text of novels, poems, plays, and unpublished materials, like diaries, letters, and ephemera.
In addition, some works will be available in the public domain (for titles published in the U.S. prior to 1924). Project Gutenberg and HathiTrust are good sources for finding out-of-copyright works.
Below are links to sources for finding the full text of British literature, primarily from library databases.