My wife was having problems today with some Windows 7 updates refusing to install.  I Googled the error code and came up with this article.  The "System Update Readiness Tool" download seems to have fixed the issue...

Fix Windows Update corruption errors such as 0x80070002 and 0x80070057

 

Windows Update corruption errors prevent Windows updates and service packs from installing. For example, an update might not install if a system file is damaged. If the error you see is in the following list, try the solution in this article.

0x80070002 | 0x8007000D | 0x800F081F | 0x80073712 | 0x800736CC | 0x800705B9 | 0x80070246 | 0x8007370D | 0x8007370B | 0x8007370A | 0x80070057 | 0x800B0100 | 0x80092003 | 0x800B0101 | 0x8007371B | 0x80070490

If your error is not listed or if your are running Windows XP, try the Windows Update Troubleshooter.

Resolution#### Windows 8.1, Windows 8, Windows Server 2012 R2 or Windows Server 2012

To resolve this problem, use the inbox Deployment Image Servicing and Management (DISM) tool. Then, install the Windows update or service pack again. 1. Open an elevated command prompt. To do this, swipe in from the right edge of the screen, and then tap Search. Or, if you are using a mouse, point to the lower-right corner of the screen, and then click Search. Type Command Prompt in the Search box, right-click Command Prompt, and then click Run as administrator. If you are prompted for an administrator password or for a confirmation, type the password, or click Allow.

2. Type the following commands. Press Enter after each command.
   NoteIt may take several minutes for each command operation to be completed. - DISM.exe /Online /Cleanup-image /Scanhealth

• DISM.exe /Online /Cleanup-image /Restorehealth

3. Close the command prompt, and then run Windows Update again.

DISM creates a log file (%windir%/Logs/CBS/CBS.log) that captures any issues that the tool found or fixed. %windir% is the folder in which Windows is installed. For example, the %windir% folder is C:Windows.

Windows 7, Windows Vista, Windows Server 2008 R2 or Windows Server 2008

To resolve this problem, use the System Update Readiness tool. Then, install the Windows update or service pack again.Download the System Update Readiness tool.
Click the download link in the following table that corresponds to the version of Windows that is running on your computer.

http://support.microsoft.com/kb/947821

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