I don't know what the name is because I can't get the system to boot at all. Once I got it up and running and did a windows update and clicked the restart after the update was done, it wouldn't boot back up. I don't know what else to do than to do another system repair to get it up and running again. What is your advice on this?
After you run the repair, get the name of the Trojan Horse. Depending on the antivirus software you use, that manufacturer may have a removal tool for it. Normally a small executable file that can be downloaded from their respective website.
If there is no tool, boot into safe mode; Delete the infected files, and all system restore points. Scan all drives again to make sure all infected files were deleted. Then reboot.