I think 1977, according to Wikipedia: The Long Island Press was also a daily newspaper that was for years known as the Long Island Farmer. The Farmer was founded in the 1840's, changed its name to the Long Island Daily Press in the 1920's, became simply the Long Island Press in 1967 and shut down in 1977.
The "new" LIP started in 2003.
http://en.wikipedia.org/wiki/Long_Island_Press