It's always good to post some positive news ...
I have a Samsung N145 Plus 10" netbook, made in 2011. It has 2GB maximum of installed RAM and a dual-threaded single core CPU @ 1.66GHz. I've tried several lightweight distros on this machine, but Slitaz (edition 5 rolling, 32-bit) is the only one I've found that works really well. The 64-bit version works very well too, but I used 32-bit as it seemed to use less battery power. I've been using Slitaz-5 since September 20, 2019. Even though I have between 400 and 500 packages installed, it only tales up around 48MB of RAM, while idling. My battery charge lasts longer at 7 hours, compared to only 4 hours when Manjaro-xfce 64-bit was installed on this netbook.
In my tests, Antix-17.4.1 came a close second, but the main disadvantages with it (for my needs) was that it wasn't a rolling distribution, and found it annoying that I couldn't leave files on the Desktop screen view (only in a Desktop folder). Also Slitaz-5's desktop appearance is much more polished. Also, the newly released antiX-19 edition, doesn't run as well on this netbook, compared to antiX-17. I did try Void Linux, a great distro, but it seems too complicated for a 'linux-newbie' like me. It's interesting to see that there is some recent discussion in the forum about the possibility of using Void as a base for Slitaz in the future, as kernel upgrade issues have already been worked out with Void. I'm sure this move will help Slitaz, in the future, to offer more up-to-date packages.
Well done the Slitaz team, and thankyou for all the help I've received so far, particularly from Mojo, Ceel & Alexej - I look forward to staying with Slitaz for as long as possible ...