Can I use ssh to connect to another computer and have root acess to it that is in another state on a seperate network then the one I am on? if not is there any way to to that?

Yes. Depending on the setup of the remote machine it may not permit root logins so you may need to login as a normal user and then su to root.

Cool. I am using SuSE 9.3 FTP install. I would have the same install put on those machines. so ssh demon will be started up on boot up.

How would I do that with ssh? (I know how to connect to a computer through ssh on my local network.)

Just the same as you would on your local network:
ssh user@remote.ip.or.hostname

kool.

Would it be any different if the computers I wanted to access were behind a router?

Some one else I asked said that I would need to have the router forward port 22 to one of the computers and use ssh from that computer to reach the other ones. What do u think?

If the machines do not have publicly addressable IP addresses then yes, you will need to do this

It'd probably be a good idea to setup a DynDNS account.
What you'll need to do to the router on the other machines is forward 22 on one machine, and then setup the other client to use a different port and forward that one to that machine. Then when you connect to the second computer use user@hostname:port and it should work fine.

If there's a different way to do this, someone please say so, however this is the only way I've known how to do this thus far.

So:

[MY COMPUTER] ssh blablabla --> <router> (forwards port 22) --> [one of 4 computers] ssh blablabla --> [any of the other 3 computers]

Why would I need DynDNS?

Well, if your ISP gives you a dynamic IP address and not static, it's going to be constantly changing.
With a DynDNS account, you can get a hostname for yourself (such as computername.homelinux.net) that will make it easier for you to connect to.
You can then try some of their tools to automatically update their server with your renewed IP when you get a new IP.
Remembering hostnames is just easier than remembering what my IP changed to every time, but if you're on a static IP, then no worries.

I also thought you were going to have a different layout. You are going to ssh to one computer in the network, and then connect to any of the other three from that one. What I've done it setup different ports per computer, and saved them in putty. I then have hostnames for all of the computers just to make things easier for myself.
Looks like you've got everything wrapped up now, though.
Good luck.