I'm working on a wholesale site right now and I'm using a box window that pops up and asks for your password information. The thing is I also want there to be a link within the window to go to a registration page, just in case someone hasn't registered for a pw yet.

It might be easier to understand by seeing for yourself.
Click on the Order Koi link, then click on the register link within the window that pops up.
http://www.koidiet.com/koi.htm

So right now the register page opens inside the box, and I don't want that. I also don't really want to create a "_blank" target. What I really want is the register page to open in the original page.

I've played around with names and targets and can't seem to get it right. I need some help with this one.

I don't believe you're going to solve that solely with HTML. You're going to need some javascript or PHP to do what you want.

On the other hand, you could try something like this:
http://www.stripegenerator.com/index.php?page=index

Click on the 'login' link in the upper right.. it opens a login box over TOP of the existing page. The 'sign up' link does the same. The site uses a variation of the LightBox script.

I would recommend changing from a javascript pop-up box, to a new website loading instead.

This is to prevent from that feature being unavailable to people who have javascript disabled in their browser, as well as pop-up ads being blocked. Some people may mistake that for a pop-up and close out of it.

As much as you don't want it to open on the same page, you should really have it load in the same page. A customer can always click a link to take the back to the original page, or use the back button on their browser.

Also, depending on your DOCTYPE (if you're even using one) using a target in your anchor link is deprecated in HTML 4.1 and XHTML 1.0 Standard.

Adding a name to your anchor doesn't work in the way you're trying.

Check out this link:
http://www.w3.org/TR/html401/struct/links.html

It might help you to understand some of the elements involved with anchors.

well the lightbox may be a little over my head, but I could use javascript.