The aim of the series of the three articles entitled “Name game…” is to present the historical information about nomenclature history of every known chemical element. The process of naming each chemical element is analyzed, with particular emphasis on the first publication with a given name. It turned out that in many cases this information is not obvious and unambiguous, and the published data are even contradictory. In a few cases, the names of the elements were changed even several times. (...) Moreover, even when the author of a given element name is known, it is sometimes not entirely clear in which publication he/she first used it. Therefore, the series of three articles are an attempt to sort out the issue of first publishing of the names of all 118 chemical elements known so far, based on original source texts, available thanks to the digitization of a number of collections of scientific literature. The articles are divided according to the time of discoveries: (1) research till the end of the 18th century, (2) discoveries in the 19th century, (3) discoveries and syntheses of elements in the 20th and 21st centuries. This particular article presents the history of naming of the first 37 elements: known from antiquity, discovered in nature and named in 17th and 18th century. (shrink)