Hello Mark,
Thank you for posting your question on Microsoft Community.
I would like to know some information about the issue so that we could help you better.
Is your computer connected to a domain network?
I appreciate you for providing details about the issue and your efforts towards resolving it.
This issue may occur either due to corrupt Windows update files or software conflicts.
I would suggest you to try following methods and check if it helps.
Method 1:
Perform clean boot and then try to install the update.
Refer this article:
How to perform a clean boot in Windows
https://support.microsoft.com/en-us/kb/929135
Clean boot is performed to start Windows by using a minimal set of drivers and startup programs. This helps eliminate software conflicts that occur when you install a program or an update or when you run a program.
Note: After you have finished troubleshooting, follow these steps from section “How to reset the computer to start as usual after clean boot troubleshooting” to reset the computer to start as usual.
If it does not help, use method 2.
Method 2:
Please use suggestions provided in this article and check the issue.
Refer:
Troubleshoot problems with installing updates
http://windows.microsoft.com/en-us/windows/troubleshoot-problems-installing-updates#1TC=windows-7
Note: Some updates might require that you restart your computer to finish installing. Save and close all your programs before restarting to prevent data loss.
I hope this information helps.
Please do let us know if you need any further assistance.
Thank you