So, you loaded Win7 and let it do its initial hardware detection/driver choice thing in your desktop, then moved the HD to the old Dell and expected it to work automagically?
I hope you didn't let the authentication routine run, because no matter what you do that copy of Win 7 will never authenticate in the Dell box. If you didn't try to authenticate Win 7, pull the optical drive from your box and put it in the Dell. Reload Win 7 on the Dell with a good optical drive.
Moore's Law of Mad Science: Every eighteen months, the minimum IQ necessary to destroy the world drops by one point.