This may be a totally dumb question, I'm not terribly familiar with the inner workings of Planescape.
Doesn't the Ethereal Plane only connect to the Inner and Prime Material planes? Since Sigil is in the Outer Planes, how can The Lady put things directly into the Ethereal from Sigil?
Well, exactly. How does she do it? It's a paradox. The Lady of Pain somehow defies the nature of the multiverse by spinning ethereal demiplanes off a city that does not touch the Ethereal. Perhaps she is able to do this because of Sigil's nature as an impossible city that touches every plane, even those planes the Outer Planes cannot touch. Perhaps she is able to do this because she knows secrets others do not. Perhaps she is able to do this with sheer power alone, although I think this last is the least interesting explanation.