Hagar and Ishmael wandered in the wilderness of Beersheba.

Hagar was Sarah's Egyptian maidservant. When it seemed impossible for Sarah to have children, she urged Abraham to have a child with Hagar. When Hagar became pregnant, Sarah became jealous and Hagar fled into the desert.  An angel appeared to her and told her to return.  The son that Hagar bore was Ishmael. When Sarah's own son Isaac was born, Sarah asked that Hagar and Ishmael be sent away.  God told Abraham to assent to this and God preserved Hagar and Ishmael in the desert.

Gen 16:1-16 - Hagar bears Ishmael
Gen 21:8-21 - Hagar sent away