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.
There are two Fallopian tubes attached to either side of the end of the uterus. Each tube will end near one ovary. This place is called the fimbria. The Fallopian tubes are not attached to the ovaries, but open into the peritoneal cavity. In humans, the Fallopian tubes are about 7 - 14 cm long.