I have always been taught that lights in a chanukiah should be inserted from right to left. So on the first four nights, only lights to the right of the shamash are lit (assuming a shamash in the center). But the mitzvah of lights is persumei nissa - publicizing the miracle - so we are to light a chanukiah in the window.
Regarding the chanukiah(s) in the window, is this right-to-left order with respect to the lighters in the house or the viewers on the street?