How to clear Recent List from Taskbar Icon

Hi, I know how to clear the Recent List on the main Adobe screen and how to change the quantity of Recent files in the Preferences, but how do you clear the Recent List from the Icon on the Taskbar?  Right clicking shows all the recent files and was not cleared by the options above.  We sometimes share a computer and some of my work is confidential and I do not want the it to be traced through Adobe.  I have tried doing them manually one by one, but it just continues and continues with no end.  Please help as one should have the option of clearing all history.