There are many vertical apps, as well as crapware, that install MS SQL Server Express. Some do it well, allowing you to see and uninstall MS SQL Server Express from Add/Remove Programs, and others hide it to prevent having their implementation disabled.
http://www.microsoft.com/Sqlserver/2005/en/us/express.aspx
You can look in the \Program Files\Microsoft SQL Server\ folder you found for SQL Server Management Studio, Surface Area Manager, Configuration Manager, or sqlcmd.exe which would help you determine which database brought MS SQL to your computer, resolve conflicts between instances, and uninstall part or all of the software. Microsoft is, as always, deprecating one or the other of its DB admin tools, and moving functionality between them, so it takes a little poking around.
I know you have solved the problem, but for others who may be wondering how/why MS SQL ever got into their machines.....
vkundakci:
Thanks for the lead regarding these registry entries... I found out that my laptop came with a software called VAIO Entertainment Platform which apparently includes a copy of MS SQL Server. Supposedly removing the former is supposed to get rid of the SQL Server. Well, it does not. So I renamed \Program Files\Microsoft SQL Server\ which I had done before without any results, AND renamed the two registry keys HKLM\Software\MSSQLServer and Microsoft SQL Server. Vulnerability gone! Thanks all. /V