I don't get excited about too many genealogy websites, but Chronicling America, sponsored jointly by the National Endowment for the Humanities and the Library of Congress, is an exception. This project is part of the National Digital Newspaper Program (NDNP) and is especially exciting as it is a free site and can be accessed from the comfort of your home. You can browse through issues or search by a specific name and time period.
Available newspapers of special interest to western Kentucky genealogists are the Crittenden Press (1886 - 1906), the Hickman Courier (1900-1908), the Hopkinsville Kentuckian (1894-1910) and several Paducah newspapers (1896-1906). If you research a county other that the four named here, don't discount the value of searching these newspapers. Newspapers often covered adjoining towns and counties. For example, the area around Salem in Livingston County was routinely covered by the Crittenden Press and the Paducah newspapers usually covered events around Smithland in Livingston County and Eddyville in Lyon County.
The addition of these small town newspapers is a tremendous resource for genealogists. Check them out.