Because her interests leaned to the humanities, Weeks was drawn to the history of chemistry. Initially, she wrote about the elements as a hobby. From 1932-1933, while at the University of Kansas,  Weeks wrote a series of 21 articles on the discovery of the elements for the Journal of Chemical Education.
Due to demand for reprints, the articles were collected and published in book form in 1933. Discovery of the Elements went through multiple editions.  Both book and the earlier articles were liberally illustrated with pictures of chemists from the collection of Frank B. Dains, an older Kansas colleague of Weeks.
By 1968, Discovery of the Elements had appeared in seven editions, and had been updated to include the 94 elements that were discovered between 1524 and 1964.  Editions included a wartime release in limited numbers due to restrictions on use of paper. The book had  been translated into multiple languages. Weeks, who spoke French, German, Italian, Japanese, Spanish, Swedish, and Russian, focused on translation for much of her time at Wayne State University.
The seventh edition was identified as a "classic of chemistry". It was hailed as "a new edition of an old favorite", a "definitive and unique work" whose "value is well established and recognized by all". Revised by Weeks and Henry M. Leicester, it contained 2,688 references and 373 illustrations. Her work was one of the inspirations for The Lost Elements: The Periodic Tables Shadow Side' (2015).