Fail to see the connection with the spiritual "Norah, Hist the Window."
There are many songs about opening, coming to or going away from, the window, many of them associated with the "Awake, Drowsy Sleeper" complex, to which your examples seem to belong.

Your word "parody" perhaps should be written as "variant." Parody in North America means an imitation, usually for comic effect, or an imitation with a change in meaning (such as a hymn converted to a labor song, etc.)