@eMcE: My system works now and these lines have not changed. At the same time, I want to thank you for assisting. I appreciate your willingness to help.
@Rebecca_D: My system finally works! Here is what I learned.
* First, I want to tell you that you can run the Mint gui from the black screen by simply hitting the ctrl-alt-F8 key combination. This key combination flips you over to the gui from virtual terminal, which is the black screen that we see when Mint is fully loaded, but doesn't show the gui.
* Second, eanfrid was correct. The kernel that installs by default with Mint is a not good. As eanfrid stated in his post, you need to install a "more adequate kernel". You install the newer kernel by following these steps:
1) Click Menu on the bottom, left corner
2) Click the Package Manager, which is 5 items up (still in the System group)
3) A dialog box will ask you for your password
4) At the top of the next screen, you will see "Synaptic Package Manager". On this screen, type "kernel" in the Quick filter and then hit Search to the right of it
5) Right-click on "linux-headers-generic 3.2.0.32.35" and choose "Mark for Installation"
6) Right-click on "linux-image-generic 3.2.0.32.35" and choose "Mark for Installation"
7) Right-click on "linux-generic 3.2.0.32.35" and choose "Mark for Installation"

Click the Apply button near the top, left corner
9) Once everything finishes, close the Synaptic Package Manager and then shut down Linux Mint
10) You need to re-install Guest Additions. Here is a link in case you need help with this step:
http://www.if-not-true-then-false.com/2 ... -hat-rhel/11) Finally, you need to change the Desktop Settings. Click on Preferences in the middle column (Applications) and then click the Desktop Settings in the right column. I added the Trash to my desktop.
Once I finished this process, I turned off my computer for a few minutes (completely off). Then, I turned everything back on. The Linux Mint gui popped open with no problems.
Best wishes to you.