@Nonya_Bidniss Huh. I had one of those. Akshully, I have NO IDEA what happened to it..
Anyways. I ended up putting Ubuntu, slim and trimmed, on it. Turned the thing into a internet terminal, basically.
Worked... ok. Manage your expectations.
Elementary OS, maybe?
...dare I say... BSD?
It might feel a little sluggish with just 1GB RAM, but my first instinct would probably be Ubuntu.
If that fails, there's always Puppy Linux.
You could also probably do something with TinyCore but it would probably require a lot of fiddling to get a GUI and apps loaded.
A more mainstream distro like Mint would almost certainly be a better user experience if it'll run.
@coreysnipes That failed. I didn't realize it wouldn't support 32-bit.
I'll probably try a 32-bit antiX.
@Nonya_Bidniss Based on my own experience with limited hardware, I'd say maybe antiX, Void Linux, or Bodhi Linux.
antiX has the least RAM usage and it has its own package installer. Bodhi Linux is slightly outdated.
@Nonya_Bidniss Try #antiX linux or #Artix linux. #antiX is highly recommended.
If you can spare some cash then #Zorin OS Lite.
I would suggest #AlpineLinux.
Minimal Hardware Requirements, for a graphical desktop: 512 MB of RAM, 700 MB space on a writable storage device.

@Nonya_Bidniss It was like the bestest travel machine ever. Under RAMed at 4GB and had a Celeron Proc but worked GREAT as far as SSH/MOSH and that's all I really need in a hurry.
I upgraded the RAM in a bar with a nail file (screwdriver) having an IPA as I recall.
I had a 15" Sony VAIO (punk fuckers running Linux, VAIO bastards) as my primary carry and my mother bought me the Aspire because she thought it was "cute". That boxen became my primary walking around Los Angeles. It was perfect.
@Nonya_Bidniss Fucking VAIOs (ThinkPad guy, for, reasons) I had to recompile my effing audio drivers ever kernel update.
SONY is Specifically antagonistic to xnix. Sexy little beasts, but more trouble than worth. [Looked great in meetings, but I can beat a marketing guy with a ThinkPad and still use it later that day, VAIO not so much).
Old HDDs are not be securely erased unless you do it like US navy erased them.
Dip them in acid ๐ต
Some drive tracks can be read on the "outside".
By state actors mainly.
However, both HDD and SSDs can be permanently erased in a microwave ๐