Whence the window undertakes?

Mac OS X 10.3.9

tell application "System Events"
	tell application process "Finder"
		tell application "Finder" to open desktop
		get title of window "Desktop" -- All Ok
		
		get title of window "Desktop" of application "Finder" --Finder got an error: Can't get title of window "Desktop"
		
		get title of window "Desktop" of application process "Finder" --System Event got an error : NSCannotCreateScriptCommandError
		
		get title of window "Desktop" of application "System Events" --System Event got an error : NSReceiverEvaluationScriptError: 4
	end tell
end tell

What gives properties of a window if any reference to the possible parent has not worked?

Is this the kind of thing you want?

tell application "Finder" to set W to every Finder window whose name is "Desktop"
set {xTL, yTL, xBR, yBR} to bounds of item 1 of W

If you prefer a one-liner:

tell application "Finder" to set {xTL, yTL, xBR, yBR} to bounds of first Finder window whose name is "Desktop"

I wish to know why any design where the accessory of a window is obviously described does not work? And if it to whom from them does not belong, I wish to know: to whom?