I used the following device in QA-testing (Quality Assurance)
asus eepc 1000HE (intel atom n270, 1gb, intel mobile 945gse integrated), wireless RT2790
It ran & was used in QA-testing up to Ubuntu-MATE 18.04 LTS, but also later non-LTS Lubuntu/Xubuntu 18.10 & 19.04 as those flavors continued creating ISOs into the disco (or 19.04) cycle.
eeePCs however vary with the CPU they include; the n270 I provided specs for would run only the OSes I mentioned, however some later intel atoms would run 19.10, 20.04 & beyond (inc. Ubuntu-MATE 22.04 LTS).
The CPU details you didn't provide will tell you what yours will run.
Be aware Ubuntu-MATE 18.04 LTS is end of life, though the parts of it in common with Ubuntu Desktop 18.04 LTS still receive upgrades & security fixes; which is actually a considerable portion of the system; you can confirm this using the command ubuntu-support-status on your actual system.
(Lubuntu & Xubuntu which had later release(s) of i386 systems may have allowed later software, however even 18.10/19.04 reached EOL well before 18.04 LTS did)