No, your subject doesn't say much of anything, but your explanation helps.

Your Bravenet URL does not have a ".html" associated with it. Your files do, but your URL does not. The default home page should be "index.html" or "index.htm". To get to your web site all you need is your basic URL, "http://freerewards.bravehost.com", nothing else.

When you use something like "http://freerewards.bravehost.com/index", the server looks for a folder named "index" and then looks for a file named "index.html" in that folder. The same thing with "http://freerewards.bravehost.com/YourNight". The server looks for a folder named "YourNight" and then searches for a file named "index.html". Anything without an extension is assumed to be a folder.

When you are trying to link to another page on your site, you will need the ".html" extension. The extension is needed so that the server knows what kind of file this is and how to send it to the visitor. The visitor's browser also needs to know this extension. For example, a file with a ".html" extension is assumed to be a HTML file. A visitor's browser will simply display it. But if it had a ".zip" extension, the visitor's browser knows that this is a ZIP file and to prompt the visitor for a save option.

Browser: Firefox, Netscape, Sea Monkey, Internet Explorer, .....

OS: Solaris (Sparc,x86), Linux, XP

Thank you so much for the quick reply.

I value each of the opinions. So my visitor's / browser's must enter http://freerewards.bravehost.com/yournight.html into their browsers yes?

Browser: chrome

OS: vista home pro

Unless you create a YourNight folder for the file and put the file (in this case named index.html)in that folder, yes.
Uh... make that "Yes!".
adding a .html extension is expected, and won't confuse or delay your visitors.
For you to keep track of a folder for each page, and to avoid messing up the complex links between files linked to on those pages, is likely to be a nightmare.