From the library website:
The Tehama County Library has had many homes since it was established in 1916. It was first housed in the I.O.O.F. building at the corner of Washington and Oak streets, and was known as the Tehama County Free Library. 
From the California Digital Newspaper Collection:
The Board of Supervisors at their meeting yesterday morning took a step that is bound to meet the approval of every thinking person in the county, when they unanimously passed a resolution of intention to consider the establishment of a county free library. Already thirty-five counties have taken this progressive stand through which the people living in the county are assured a library service as good as efficiency and cooperation can give.
The county free library is simply a library to bring service to every person in the county. It is established by the Board of Supervisors, and has business headquarters at the county seat in charge of an experienced, certified librarian appointed by the Supervisors. Branches are established out all over the county, so as to make the service accessible to everyone. These branches are supplied with books and magazines to suit in kind and number the needs of the people. The books are exchanged a part or as a whole, when the community no longer uses them. 
Intriguingly, the website of the Red Bluff Daily News contradicts their own paper's publication date in their reprint from July 5, 2016. It credits the article's publication date as July 5, 1916. However, a search through scans of the original paper  show that the article appeared in the edition of July 4, 1916, and used the word "yesterday". Furthermore, it is unlikely (though not impossible) that the board of supervisors would have met on Independence Day, giving more credence to the July 3rd date. For these reasons, the covers commemorate the date of resolution as July 3rd, rather than July 4th as a cursory search might suggest.