Merritt -

In this case, as Ampleworks pointed out, remote desktop is probably your best friend.

Essentially you'll log into one PC from another, and it will appear as you are actually sitting in front of the second PC. From there, you just highlight the text/graphics you want to copy, hit Ctrl-C, then "go back" to the first PC and hit shift-Insert (there are other key combos that will work as well, I've just always used these).

This does require some configuration though, and it does depend on what version of windows you are running. I'm guessing you're running windows XP. Now, is it the home or business edition?