Windows 7 user account no longer on Welcome Screen

This isn't the solution to the exact question you asked, but will accomplish your goal of being able to elevate to the administrator account but not have it show up on the login screen.

Here's what you need to do. Use the special accounts registry entry to hide the administrator account (and whatever other accounts you want to hide) from the login screen. Then, configure UAC to prompt for both a username and password, instead of just showing the clickable usernames. This will let you elevate to one of the hidden accounts, because it behaves much like the "do not display last username" setting does for the login. This is what it will look like; you can type in any (administator's) username:

In order to configure this, all you have to do is create one registry value. Go to HKLM\Software\Microsoft\Windows\CurrentVersion\Policies and create a key called CredUI if it doesn't already exist. Then, within CredUI, create a DWORD called EnumerateAdministrators with the value 0x00000000. That's it! Now you can elevate to any account you want, and hide any account you want.

If you don't want to edit the registry by hand, you can paste the following code into notepad, and save it as a file with a .reg extension, then open the file to add the data to the registry.

Windows Registry Editor Version 5.00

[HKEY_LOCAL_MACHINE\SOFTWARE\Microsoft\Windows\CurrentVersion\Policies\CredUI]
"EnumerateAdministrators"=dword:00000000

If you have an account with Administrator-level permissions on the system, you should be able to delete the account using the net user command from an elevated command prompt.

In the Start Menu's search bar, type cmd. When "cmd.exe" is highlighted in the search results, press CTRL+SHIFT+ENTER. You should get a UAC prompt. After the UAC prompt, you should see a CMD window with the title Administrator: C:\Windows\System32\cmd.exe.

From there, use net user as you normally would to delete a user account: net user [username] /delete