Thanks for posting.
Since the FileMaker Pro Web Publishing process is owned by the user that's logged in when starting it, there won't be a way to keep it running after you log out. FileMaker Server Advanced, on the other hand, will continue sharing after you log off.
If FileMaker Server Advanced isn't a good fit right now, you can configure your computer to not lock, logout or hibernate after periods of inactivity. If you let us know the operating system you're currently using, I should be able to offer a bit more advice on how to configure this.
Hi TSBear, I got it working... Thanks a lot!