Private Stylesheet Deletion and Renaming

Please advise how to edit my existing list of private Stylesheets In Mathematica 9 Menu,
in particular removing and renaming an item in the list? (Latest iMac and OS) !

Your stylesheets should be in one of the two following directories (the code opens the directories):

SystemOpen@
 FileNameJoin[{$UserBaseDirectory, "SystemFiles", "FrontEnd", 
   "StyleSheets"}] 


SystemOpen@
 FileNameJoin[{$InstallationDirectory, "SystemFiles", "FrontEnd", 
   "StyleSheets"}] 

If you remove a style sheet (careful not to remove any of the standard Mathematica style sheets though) or delete it and then restart Mathematica, the changes will be reflected in the menu.