When the Torah reading is completed, prayers are offered for those seeking recovery from illness (misheberach). The congregants tell the sexton (Gabai) the sick person's name and mother's name preferably in Hebrew, i.e., Rivka bat Sara.
An interesting item to note: Prayers for the sick reference the sick person's mother's name and prayers for someone who is receiving an aliyah reference the person's father's name. According to Jewish law, a father's name is like a surname, used only for the purpose of identification. A mother, however, is associated with life and the soul.