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, also known as the uterine tubes, are a pair of 4-inch (10 cm) long narrow tubes connecting the ovaries to the uterus. Ova (egg cells) are carried to the uterus through the fallopian tubes following ovulation. The ova may also be fertilized while in the Fallopian tubes if sperm is present following sexual intercourse. The Fallopian tubes are located in the pelvic cavity extending laterally from the corners of the superior edge of the uterus and passing superior to the ovaries.... Click to read more below.