You did the right think by swapping hardware. The problem persists after a reboot and this is typical for an overheating problem. On the other hand, it sometimes freezes way too fast to be related to temperature...or does it? Is it really crashing 30 seconds after a real "cold" start? Have you checked the temps ? Even when the sensors show normal temperatures, weak RAM can go nuts when it's warm enough. Fans don't guarantee an optimal airflow only by their quantity. If it really crashes 30 seconds after a cold start, I would still bet on RAM or Northbridge from the symptoms you described.
it didnt happen when I had my hardware in her PC
Sounds like you found the problem already. Why don't you leave your stuff in there for a while (at least >48 hrs) to get sure? I would swap the memory again and leave it for a while. If the problem shows up again, same procedure with the video card.
It could help if you tell us what hardware is involved: Maybe she's got a ampere-eating video card and a weak power supply and you have a big PSU and a modest video card. (That would explain why swapping helps, too) The PSU is another item that comes into mind on random crashes...