I think Samson is looking not for a place to upload files, like Mediafire or Dropbox, but a place to host a simple web page using HTML that Samson wrote (as opposed to a template that you can add stuff to without knowing how to code any HTML). I was going to suggest Angelfire, but I see that they moved their Web Shell Editor that you can do that with to the $11.40/year tier, so it isn't free anymore. I used webs.com to do this a few years back, but they no longer offer the ability to do that on new accounts. So I'm not sure. There probably still is such a service, but I don't know what it is these days. Geocities Japan may still offer it, but it's entirely in Japanese.
The alternative is renting your own virtual server and spinning up a web server, but that's more complex and you aren't going to be able to beat Angelfire's price on that.