Elena Gilbert in the books does not have children,as in the series.So,maybe you thought of Nina Dobrev who plays Elena in the series - no she hasn't got any children.
The uterus is part of a woman's reproductive system that is located in the pelvis between the bladder and the rectum. The uterus is the hollow, pear-shaped organ where a baby grows. The narrow, lower portion of the uterus is called the cervix. The broad, middle part of the uterus is called the body, or the corpus. The dome-shaped top of the uterus is called the fundus. The fallopian tubes extend from either side of the top of the uterus to the ovaries.
The fallopian tubes are part of the reproductive organs in a woman and provide the passageway through which the egg is moved from the ovaries to the uterus. They are about four or five inches long (10cm) with outer ends that are shaped like a funnel with fringes and they attach at the other end to the uterus. The fringes are called fimbriae and their function is to catch the mature egg when it is released from the ovary and channel it into the fallopian tube.