Hagar and Ishmael wandered in the wilderness of Beersheba.

Abraham's wife Sarah was old and had borne no children.  She urged Abraham to have a child with Hagar, her maidservant.  The son she bore was named Ishmael. When Sarah later bore a son named Isaac, she did not want Ishmael to inherit anything, so she had Abraham send Hagar and Ishmael away into the desert. God, however, preserved and blessed Ishmael.

Gen 16:1-16 - Birth of Ishmael
Gen 21:8-21 - Ishmael sent away