Mishkat al-Masabih 2510 — The Rites of Pilgrimage

Ibn ‘Abbas reported God’s messenger as saying, “An 'umra in Ramadan is equal to a hajja. ” (hajj is the word for the pilgrimage and hajja is a form indicating a single observance.) He told of the Prophet meeting some riders at ar-Rauha’ (A place between thirty and forty miles from Medina on the way to Mecca) and asking who they were. They replied that they were Muslims and asked who he was. When he said that he was God's messenger a woman lifted up a boy to him and asked whether the child could be credited with having performed the pilgrimage, to which he replied, “Yes, and you will have a reward.” Muslim transmitted it.