[Wlug] Old drive - new machine?

I have a RedHat 7.3 server that is sick. It would appear that there are all kinds of hard disk errors but I don't think its the hard drive because its done it with two new hard drives. I'm guessing its the on-motherboard disk controller. It will boot up okay, but after a (steadily decreasing) amount of time the errors begin again and the hard drive light stays on. The question is: the motherboard is an old Socket-7 AT Epox which I can't replace exactly -- what are the issues involved with swapping the drive (which I believe is okay) into a new machine with a different motherboard, without reloading RH 7.3 or my data?