Hi Tom,
Thank you for reaching out to the Microsoft Community!
Based on the description, it appears that you are getting an error message “The feature you are trying to use is on a network resource that is unavailable” while trying to install Silverlight update.
1. Are you able to install other updates fine?
2. Were there any recent changes made on the computer prior to the issue?
I can understand the inconvenience you have experienced. I will certainly help you out with this issue.
Method 1: Run the fix it and check.
Fix the problem with Microsoft Windows Update that is not working
http://support.microsoft.com/mats/windows\_update/
Method 2: How to clean a corrupted Silverlight installation and then reinstall Silverlight
http://support.microsoft.com/kb/2608523
Registry disclaimer
To do so: Important this section, method, or task contains steps that tell you how to modify the registry. However, serious problems might occur if you modify the registry incorrectly. Therefore, make sure that you follow these steps carefully. For added protection, back up the registry before you modify it. Then, you can restore the registry if a problem occurs. For more information about how to back up and restore the registry, click the following article number to view the article in the Microsoft Knowledge Base:
322756 (http://support.microsoft.com/kb/322756/ )
How to back up and restore the registry in Windows
Support for Microsoft Silverlight
http://support.microsoft.com/ph/12929
If anything in my post is unclear or you have further questions on Windows, do not hesitate to let us know. It is our pleasure to be of assistance.