Hazrat Zubair’s (ra) title was Abu Abdullah. Initially, his mother, Hazrat Safia (ra) gave him the title of Abu Tahir, which was given to him as it was the title of her brother, Zubair bin Abdul Muttalib. However, Hazrat Zubair bin al-Awwam (ra), gave himself the title after his son, Abdullah, which later became more famous.