So my husband gave me his old computer and I went in and changed the "computer name" to mine and now I get the black screen "t

[NotComptrSavvy]

Black screen , not genuine windows, changed the computer's name

 

[kenrivers]

Part of your question was cut off. Restate the question in the body of the post and not in the header. I guess the gist of it is that after you changed the computer name you now get a black screen stating that your Windows is not genuine.
You might find this link useful: http://answers.microsoft.com/en-us/windows/forum/windows_7-windows_install/windows-not-genuine-error/174553b9-9ce5-4b4c-a9ce-014efa0dea5f
One suggestion is to call Microsoft and try to activate over the phone.