AMD Anthelion 64x2 dual core processor 4400 + 2.30ghz
RAM 2gb
System type: 32bit operating system
Adapter: ATI radion expression 1250
With the error you are getting, I would suspect a bad object, or not enough RAM. Seeing as you are running Vista, then you should have at least 4Gb of RAM, as the OS itself uses about 2Gb at idle.
If you want you machine to be faster though, then you definitely need more RAM, but you'll probably also want a new Graphics Card, as the 1250 is nasty. In fact, It's probably an on-board card. Go for a Quadro of some sort, or a Geforce 8600 or 8800.
Bumping up that CPU would give you a lot quicker renderings too, but that will be considerably more expensive.
Of course, If you are looking at doing a lot of rendering, then I highly recommend Artlantis. It's prettier, easier, and faster than Lightworks, and very seldom crashes(I've never seen ATL 2 crash).
Josh Osborne - Central Innovation
HP Zbook Studio G4 - Windows 10 Pro, Intel i7 7820HQ, 32Gb RAM, Quadro M1200