Tracing the origins or assigning the first attributes of gas properties is difficult. However, a Dutch PhD thesis from 1860s sheds some light on this topic. Gratama, Koenraad Wolter. Geschiedkundig onderzoek naar de kennis der zwavelmetalen. Vol. 1. Greven, 1866. The identity of F. Hoffmann of 1722 was even trickier! The original source is in Latin "Friderici Hoffmanni: Observationum physico-chemicarum selectiorum libri III ."
Ofschoon de ontwikkeling van zwavelwaterstof reeds moet opgemerkt zijn
bij de bereiding van lac sulphuris, wordt evenwel van den
eigenaardigen reuk eerst later gesproken. Eerst in 1722 zegt Hoffmann
bij de bereiding van zwavelmelk: „sulphur solvitur facile in lixivio,
et cum acido summo cum foetore, wie faule Eier, in pulverem lividum
praecipitatur." De eigenschap, van zilver zwart te maken, wordt eerst
door Libavius (1595), en naderhand door meer andere schrijvers
vermeld. Men noemde het gas toen zwavelleverlucht. Dat het brandbaar
is, meldt Meijer (1766) in zijne Chemische Versuchen zur Erkenntnisz
des Kalks.
Machine translated
Although the development of hydrogen sulfide must already have been
noticed during the preparation of lac sulphuris, the peculiar smell is
only mentioned later. Not until 1722 did Hoffmann say of the
preparation of sulphur milk: "sulphur solvitur facile in lixivio, et
cum acido summo cum foetore, wie faule Eier, in pulverem lividum
praecipitatur." The property, of making silver black, is first
mentioned by Libavius (1595), and afterwards by more other writers.
The gas was then called sulfur-liver air. That it is flammable is
reported by Meijer (1766) in his Chemische Versuchen zur Erkenntnisz
des Kalks.
Translated with DeepL.com (free version)
The key-phrase you are looking at, mixed with Latin, is "wie faule Eier" ... as foul/rotten eggs.
Mellor in his Treatise of Inorganic Chemistry, Vol 10, also states the same year and the same association but attaches F. with Hoffmann.
Both the thesis and Mellor do not provide a reference to 1722...which must be lost or it is in Latin.