The short name is the same name of your home folder. The name that show's up at the login window is the Name, this can be changed by going into the Account Preferances in System Preferances.
The previous link on how to change the home folder and short name using NetInfo Manager is the easiest way to change both. Apple has also released a more complex article on how to change both of these items.
Mac OS X: How to change user short name or home directory name
http://docs.info.apple.com/article.html?artnum=106824
If all you want to do is change the home folder name you can rename the home folder (lower case and no spaces), create a new user account with the same password and the short name should be the same spelling and caseing of the renamed home folder.