ca you see the SP1 install on your programs and features list in the control panel? Make sure you have "show updates" marked... see if the KB# is the same or different...

There may be an update that is included in SP1 that your machine does not have.  So to complete the SP1 install, you will need to have 'all' updates that are rolled up into SP1.

It is probably the stub that gets the Service Pack started. SP1 for 64-bit is nearly a gigabyte and 32-bit is nearly 600Mb.

The KB points to the update for Windows 7 and 2008 Server SP1.

I decided to let this update run - it was listed as 2.0 MB, so it certainly was not the full SP!  It installed quicky and did not even require a reboot.  But I rebooted anyway and checked.  No more Important updates.

By the way, for some reason the Updates History only goes back to March 2014.  I believe that is when I cloned my drive to an SSD and installed that as the primary drive.  Apparently the installed updates did not transfer, I suppose.

Also, I was able to get Microsoft Support on the phone (within 2 minutes).  The response was that some service related to Updates or the Service Pack may have gotten corrupted.  I suppose it is difficult to actually identify what caused this particular Update to appear.  As previously said, it was NOT the full SP1.

Thanks for the comments!

UB

I wish I had tried rindi's suggestion before running the update.  

I will certainly keep it in mind the next time I see either (a) an update that installs but comes back as saying (again) that it is ready to be installed (again) or (b) a PC that has SP1 installed but wants to install SP1 again with some small subset of the full 600-1,000 MB.

Thanks, again.

@Robert  - Thank you and I was happy to help.