I have an HP Stream 11 that I want to use for word processing and some light web browsing - I’m a writer and it’s a lightweight laptop to bring to the library or coffee shop to write on. Right now it’s got Windows and it’s unusable due to lack of hard drive space for updates. Someone had luck with Xubuntu, but it’s been a few years and it seems like Xubuntu is no longer trying to be a lightweight distro for use cases like this.
My experience with Linux is very limited - I played around with Peppermint Linux a bit back when it was a Lubuntu fork and I used Ubuntu on the lab computers in college. I can follow instructions to make a live boot and I can do an apt-get (so something Debian-based might be best for compatibility and familiarity) but I mostly have no idea what I’m doing, lol. I used to do DOS gaming as a kid so having to do the occasional thing via command line isn’t going to scare me off but I’m not going to pretend to have knowledge I don’t. I’m probably going to go with Mint on my gaming laptop next year but I suspect it’s not the best choice for my blue bezeled potato (although I might try it anyway).
if it supports the basic hardware, there’s nothing wrong with peppermint for basic stuff like your use case. after the base system is installed, add a browser and libreoffice and you’ll have a nice little system for writing on.
if you want to keep using windows on it, you’ll probably have to ‘start over’ with a plain install of windows (without hp’s junk, and to a clean–partition table cleared–‘hard drive’), uninstall the useless crud like candy crush that comes with the base windows install, ensure compactos is enabled (it should be automatically enabled with those specs), install your browser and word processor. you shouldn’t have to do thing where you connect an external drive for ‘working’ space for updates (something i’ve only ever had to do twice on 32gb emmc models) anymore as long as updates stay relatively current.
but with only 2gb ram and a 10 year old ‘atom’ based cpu, i’d probably go straight for peppermint.