[2] After finishing her PhD, she gained experience in archaeology, taking part in fieldwork in Chaco Canyon organised by the University of New Mexico in 1936, and in Greece with the American School of Classical Studies in Athens in 1939.

As well as mastering Greek, Latin, French, German, and Anglo-Saxon,[9] she took courses in Sanskrit at the Linguistic Institute in 1941 and 1942, and at Yale from 1942 to 1945; she also took classes in Hittite, Old Persian, Tocharian, Old Irish, Akkadian, Sumerian, Chinese, and Basque.

[2] In late 1946, at the beginning of her Guggenheim Fellowship, she studied several languages of ancient Asia Minor, including Carian, Hattic, Hurrian, Lycian, and Lydian.

[21] This paper, according to Maurice Pope her "most rigorous and most famous" work,[22] would prove to be a crucial step in the eventual decipherment of Linear B.

[24] Also in 1946, Kober was awarded a Guggenheim Fellowship, allowing her to take a year off from her teaching duties to work on Linear B full time.

[25] She traveled to England, spending five weeks at St. Hugh's College, Oxford, where she would have access to the entire collection of unpublished Linear B inscriptions discovered by Evans.

[28] In September 1947, at the instigation of John Franklin Daniel, the editor of the American Journal of Archaeology, Kober began work on her third major paper on Linear B, summarizing the state of scholarship on the Minoan scripts;[29] she submitted the finished manuscript in October 1947,[30] and it was published in 1948.

[31] Building on her 1945 and 1946 papers, in this article Kober set forth a grid of ten Linear B characters, showing for each which other signs it shared a consonant or vowel with.

[33] She returned to Oxford in 1948 to work with Myres on the preparation of the manuscript for publication, and agreed to assist with Scripta Minoa III, which was to cover Linear A.

In an obituary in the journal Language, Adelaide Hahn wrote that "if and when this decipherment is ultimately achieved, surely her careful and faithful spade-work will be found to have played a part therein".