I agree with Aravisian, I can tell you without a doubt, that Zorin OS will revive your old machine, you know how I know? Read my thread bellow...
Now, just to put things in perspective, that computer is probably older then yours! Were talking about a Pentium P6200 Intel CPU 2.1GHZ dual core, with only 8GB of RAM, and an integrated Intel HD GPU.
Think about it, if Gnome, which is in CORE and PRO can speed up an old computer like that, well guess what, LITE with XFCE would have sped it up even more! So yes, recommendation is LITE as well.