NavList:

Rafael You wrote: I just received the March 2020 issue of Sky & Telescope, which features an article on celestial navigation during Captain Cook's voyages. As it is targeted to amateur astronomers rather than to navigators, amateurs or professionals, it may be a bit elementary for the NavList membership. Still, I was interested in reading about the use of both the lunar distances method and of Kendall's K1 chronometer (which, if I remember correctly, was an exact copy of Harrison's H4 chronometer) during the voyages. 

Rafael
It might also be worth looking at Bligh’s Bounty’s logbook which is available on-line.  As far as I could see, Bligh, who was also Cook’s Sailing Master on his third voyage, was keeping a record of three separate longitudes while in Bounty.  A strict DR one, one using the K2 chronometer, and one using time corrections from lunars.  While searching for at link to the original version I read, I just accidentally bought a Kindle modern transcription from Amazon, but it’s actually rather good value. DaveP