I very much would like to take a cd copy of this game with me... but when I put it on a disc and tried it on my laptop, it didn't work.
You didn't say, but I'm guessing you're running a Windows OS. So if you mean that you burned a copy of the file folder containing the installed game on to a CD then, no, that won't work.
You need the installation executable to correctly install the game to a new machine.
If you still have the digital download of the game you got back in 2009 along with
Patch #1 and
Patch #2 then just burn those three to CD and either install on your laptop or on to your parent's machine when you get there. (you can always de-install before you leave)
Hope this helps.
P.S. Don't forget to
compare your laptop's specs against
the game's requirements or you'll just frustrate yourself even further.