Where do Start Menu\All Programs shortcuts reside?
As you edited -
Any users start menu is located at:
C:\Users\USER-NAME\AppData\Roaming\Microsoft\Windows\Start Menu\Programs\
So for your example, it would be:
C:\Users\Administrator\AppData\Roaming\Microsoft\Windows\Start Menu\Programs\
And the Global / All users Start Menu is located at:
C:\ProgramData\Microsoft\Windows\Start Menu\Programs
All users / Default Desktop is now a hidden folder located at:
C:\Users\Public\Desktop
Any users desktop is located at
C:\Users\USER-NAME\Desktop\
So for your example, if the user is administrator, it would be:
C:\Users\Administrator\Desktop\
But if it is the current logged on user, a quicker way is simply to type this in to run or the explorer bar:
%userprofile%\desktop
Here is the path where Windows 7 stores links that you "Pinned To Start Menu"
- C:\Users\USER-NAME\AppData\Roaming\Microsoft\Internet Explorer\Quick Launch\User Pinned\StartMenu