The U-Tube video below features Tom Monahan, of Lancaster, who remembers Livermore. His father attended 12 years of school at Livermore and was later a supervisor for the Sawyer River Railroad.  Tom recollects memories from the 1940's.   This video is dated 08 October 2010.

(If it doesn't appear below, SEE IT HERE)
If you go to the YouTube website and search for Livermore NH you will find a few more "fair to good" videos that folks have shared.