From the Farmington Press newspaper in 2016:
There was something special uncovered during the move to the new Farmington Public Library.
"We found a box of library items, logs, reports and things when we were moving," Farmington Public Library Director Travis Trokey said.
Found at the bottom of the box, Trokey said, was the May 1916 log book showing the first membership of the Farmington Public Library.
The log was in alphabetical order instead of chronologically – something Trokey explained was common at the time.
Listed at the top of the "D" page is Miss Nell Doss with the number "1" to the left of her name. Her name was later marked through with the notation of "Mrs. Cook" in parenthesis. 
From the Farmington Times newspaper of 1916:
The Secretary reported that in accordance with instructions, the Library books and all fixtures had been moved from the High School building to the new Library Room in the Tetley building…
Motion made and seconded that the Treasurer be authorized to employ a suitable collector for the purpose of collecting subscriptions to the Library Fund and pay for such services, each month the price of $1.00 for collecting the subscriptions in the business section, and 3 per cent of the amount collected for collecting the subscriptions in the residence section. 
From the Farmington, Missouri town website:
The beginnings of the Farmington Public Library have their roots in an "evening of music and reading" organized by the United Daughters of the Confederacy in 1915. "Reading Rooms" were first located in the Tetley Building, second in the Farmington High School, and then moved back to the Tetley Building. The Library officially opened in May, 1916, with a collection of 150 books, which grew to 1,600 books by 1917. 
The logbook pictured in the Farmington Press newspaper  is important because of the date next to the registration of the first member: May 1, 1916.