I put antiX on a 2 Gb HP 1 x core Atom a little while ago. It’s used for notetaking at meetings with LibreOffice, internet browsing through wifi. Not particularly heavy usage but it runs suprisingly well. As your hardware is a bit restricted, perhaps try that. Edit: spelling
I put Antix on a 2Gb 64bit HP Atom. Worked well for notes and browsing. Oddly an SSD seemed to make little difference to performance compared to the previous HDD. Old architecture I guess.