Question -
Answer -
Was this what the Buddha wanted her to understand?
Answer:
When Kisa Gotami failed to procure a handful of mustard seeds from a house where death never took away any beloved one, she became weary and helpless and sat down by the roadside. While sitting there, she observed the flickering and extinguishing of lights and finally the darkness of the night reigned everywhere. This incident made her realise that death is inevitable and she was being selfish in her grief and agony. She understood that in this valley of desolation, there is always a path that leads man to immortality who has surrendered all his selfishness.
Yes, this is what Buddha wanted her to understand that every mortal being who is born in this world is bound to die one day.