One moral could be about the importance of kindness. In the story, if characters show kindness to the old woman, they might be rewarded. For example, she could offer them help or a magical gift.
The 'The Old Woman in the Wood' is a Grimm's Fairy Tale. In the story, a maiden is sent into the forest by her stepmother to be lost. She comes across an old woman in the wood who takes her in. The old woman is kind and gives her tasks to do. Eventually, the maiden's kindness and hard work pay off. Through various magical events and her own good nature, she overcomes difficulties and finds her way to a happy ending.
The main events include the girl being sent into the forest by her stepmother. Then, she meets the old woman. After that, she does tasks given by the old woman.
The old woman in the 'the old woman on the moon story' is a mysterious figure. She could be a symbol of the moon's magic. Maybe she was once an ordinary woman who was blessed or cursed to live on the moon. There's not always a clear backstory, but she is often seen as an entity with a connection to the lunar realm.
There is not enough information provided to exactly identify who the old woman was specifically. She could be just an ordinary person that Muhammad interacted with to convey a certain moral or lesson.