Go to your Counter Strike : Source cfg directory.
Path : Path\Steam\steamapps\SteamUser\counter-strike source\cstrike\cfg
Where the underlined Path is the path to the Steam directory on your Hard Drive, and the underlined Steam User is your Steam ID.
In the CFG directory you find config.cfg and other files, don't delete or modify any of them, just create a new text document.
Open that new text document you made and introduce this stuff in it :
name VirDeBello Likes Cheeseburgers (of course you can change VirDeBello Likes Cheeseburgers to what name you would like to have in game) and save the Text Document.
Now after you saved the document, you should rename it to autoexec.cfg
If you have Windows XP and can't see the file extensions, on Windows Explorer, go to TOOLS -> Folder Options -> View -> Uncheck the : Hide extensions for known file types Field.
You can always modify the name in the autoexec.cfg file to your heart's desire, but the changes will take effect only when the file is loaded by CSS, aka when you start the game.
Also if you don't want to fuss with making new files, you can just change config.cfg status from Read Only.