I'm looking for some kind of code or script that I can use in a website that will allow somebody to type into a form and when done updates on the website without the website being databsase-driven. Anybody know of stuff like this?
You'll need to use some Server Side Scripting. PHP, Perl, ASP or something. Then make a text file, and you can add things to it with the script. There are lots of tuts for things like that, google it
If you just want form entries sent to you via email, that's easy thanks to a form mailer script. If you actually want the stuff updating in real time, yes you will have to use PHP or similar.