Looking for a free and easy to install SSH Plugin to connect to my Unix/Linux server through a web browser.

You can do it via the Webpage. In your webpage just add a like to start up ssh client from a PC.
(If you you have a a lof of PCs, their ssh installation should be in the same place to make it to
work.

all you need is to download a free ssh client, eg:
http://www.chiark.greenend.org.uk/~sgtatham/putty/
http://www.openssh.org/windows.html

I already use putty and it works great.  But i want to access it through my website so i can be anywhere with internet access and a updated version of IE6 to get on to my linux.

http://www.appgate.se/ for applet

Add a buttom in your wabpage to run putty from your PC, not from the Webserver.
(sorry about the typo in my previous comment "like" should be "LINK")

Have a look at:


http://oldlook.experts-exchange.com/questions/20330911/Link-to-the-program-with-parameter.html
http://oldlook.experts-exchange.com/questions/20478028/HTML-file-shutting-down-a-network.html

or Java script:
http://oldlook.experts-exchange.com/questions/20488764/How-to-make-a-program-to-run-an-application.html

the computer i may be at might not have Putty on it.  I want to do something very similar to this:

http://redhat.iwcc.edu/ssh.html

Thank the both of you again, i downloaded the applet from appgate.se, and have it so it loads on my website with the server's ip address already in the box.  I get an error but i understand it is because my server is blocking the connection, so i need to use a different ciper or something.  i am going to go ahead and accept the answer, because for the most part this is solved, besides my security issue.  if i have further troubles i will post a question concerning the blocked connection through my mindterm app.  It also might not work because its not digitally signed because i didnt want to pay $800--- but i will find that out later.  Thanks again-  DJ

Not later - if your browser uses proxy connection it will not pass, you need to issue CONNECT SERVER:22 HTTP/1.0 to proxy like putty does, not just connect() to null-routed address.
SSH2 has no cipher problems, SSH1 Had.