Review the win update settings to remove the Office update, though it should not have been present in the first place.
You wont have any Office 2007 updates as they were removed from MS Site in late 2014 when 2007 went out of support, so your Office install will be as per that installed version file/cd date
I just re-installed Office H+S 2007, and can certify that there are a large number of updates are available through the Windows Update facility. Though, I would presume there are no new updates.
However, if during the Office installation you selected the option for file validation, the Office Installation will succeed, but Windows update will install all other updates, but fail on the update for the Validation program with an error code of "0x80240023".
When you search for this error code, the Microsoft support website gives a 404 Not Found.
The FIX: go to catalog.update.microsoft.com, and search for 2501584 (KB2501584, but the KB is not required). Download the Validation tool, and install it (right-click on the MSI and choose install). After completion, run Microsoft Update and you'll see that
it runs clean.