I'd also recommend upgrading Fedora, though if you like the old Gnome interface, you may or may not like the new interface of Gnome2.
I'd also recommend to do a fresh install. Assuming its a desktop, and you can afford $50 bucks for a new harddrive. Go buy a new harddrive, it will make this a lot simpler. And nice and safe that you don' t forget to back something up. And if you really hate the new Gnome2, you can always just go boot to your old Fedora 13.
Add in the new drive, and boot off your new ISO media that you downloaded, referring to dmroeder's previous post.
After installed, be sure to run "yum update" first, as root. As there are always a million new things by the time they create that ISO.
Once your all up and running, and have installed gstream as skittle mentioned(it probably will already be on your machine).
You should also be able to mount your old drive. GUI or cmd line, whatever trips your trigger. I find the command line to be simpler, as it hasn't changed in years, though if your not the command line type, they GUI will definitely help.
One NOTE about this, your UID on your old drive will most likely be different as your UID on your new machine. You'll want to chown your old home directory on the old drive. To keep this post from dragging on, I can post how to do that if you like later.
Good luck
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