Monica and I have this discussion occasionally, especially pertaining to obituaries. Can we re-publish them on the web? If they are from before 1923, no. Just recently I told her, “Since everyone else is doing it, I’m tempted to just wait for ‘them’ to catch me.” But that’s not really The Right Thing To Do, so I’ve settled on excerpts with links for items that I don’t have permission to copy outright. Some newspapers have given express permission to do so, The Current Local and the Idaho Statesman, for instance.
Copyright law is a bear to understand. The University of Texas Libraries has a section that might help — the Copyright Crash Course. In a nutshell, “Fair Use” is NOT “re-publish the whole thing.”