Just wondering if there is a html or javascript or some kinda script for
verifying reciprocal links to your website?
I have found software out there that does this, but costs money. There has to be
a way to verify reciprocal links.

The KRYPTOR

Yes, there is:

Go to Google, and search for "link:http://www.your-website-here.com". It'll show you every website that links to you. You can further narrow down those results by searching within them for the specific site you're looking to verify.

If you want a more fully-featured software suite, though, you might have to spend a little money. But if you're talking about less than a hundred or so links right now, searching on Google will save you some money.

google doesnt always show every link, and you have to wait for each update

If you are good at perl you can create your own robot, simply have a form that asks the user to put in the reciprocal links page, pass the page onto a perl/cgi-script have that script download and search the page for a reference of your website. The script can then dynamically generate their link as well.

It may sound complicated but isnt really that complicated, and you can find plenty of good perl tutorials online.