|I suggest that you remove the drive from the enclosure and connect directly to the motherboard, if possible. |
There are many variables here. The drive is most likely a 3.5" model but may be a different interface than you have available.
Also, neither of your available computers may be 48 bit LBA compliant. If I understood you correctly that both computers originally came with Vista pre-installed then that shouldn't be a problem, nor should the interface. If the drive is a SATA then it should connect right up to existing SATA controllers and power connections. That assumes you have extra ports and cabling.
As far as recovering data goes, if the drive is rotating there is a good chance of recovery. The issue may not be with the actual drive itself, but with the enclosure circuitry.
Unfortunately many enclosures do not provide adequate cooling and heat can damage the drive.
You need to try and connect it up. If you get it up you need to be prepared to start recovery. The drive may not start again.
There are various recovery programs available and live versions of Linux can sometimes read files.
Unfortunately I am fearful that the drive is DOA. If the file system was messed up you would be able to see the drive but it may say it is not formatted or some such thing.
Try connecting it internally and post back.
Can you feel the drive rotating now while still in the enclosure?