You can observe what your daughter-in-law usually needs and buy her a gift. She will be surprised and happy. Of course, no matter what she gives, her daughter-in-law will be very happy. This is a gift from her mother-in-law.
Mother-in-law is a title, which is usually used to address elderly women, including her husband's mother, grandmother, grandmother and great-grandmother. Husband's mother can also call her mother directly, because her husband's father is called father-in-law, so both of them are called in-laws. A daughter-in-law refers to a son's wife. Birthday refers to both the date and the anniversary of a person's birth.