Repair: Could not find the Database Engine startup handle

I installed SQL Server 2012 Standard on a trial basis.  I received notice that the trial period expired.

I attempted to uninstall the product using Windows uninstall.  The uninstall process hung.

I attempted to repair the installation.  I ran the SQL Server 2012 installation program as administrator.  I selected the repair option.  80% of the way through the repair process, I receive the message "Could not find the Database Engine startup handle".  There is NOTHING on the web that is relevant to SQL Server 2012 and this error message.

How do I get SQL Server 2012 off my computer?

Thanks in advance ...

Wayne Baxter