Prophet Ismail (Ishmael) - Hajar and Ishmael

Abraham Leaves Hajar and Ishmael
One day, Abraham woke up and asked his wife Hajar to get her son and prepare for a long journey. In a few days, Abraham started out with his wife Hajar and their son Ishmael. The child was still nursing and not yet weaned.
Abraham walked through cultivated land, desert, and mountains until he reached the desert of the Arabian Peninsula and came to an uncultivated valley having no fruit, no trees, no food, no water. The valley had no sign of life. After Abraham had helped his wife and child to dismount, he left them with a small amount of food and water which was hardly enough for two days. He turned around and walked away. His wife hurried after him asking: "Where are you going, Abraham, leaving us in this barren valley?"
Abraham did not answer her, but continued walking. She repeated what she had said, but he remained silent. Finally, she understood that he was not acting on his own initiative. She realized that Allah had commanded him to do this. She asked him: "Did Allah command you to do so?" He replied: "Yes." Then his great wife said: "We are not going to be lost, since Allah, Who has commanded you, is with us."
Abraham invoked Almighty Allah thus: "0 our Lord! I have made some of my offspring to dwell in a valley with no cultivation, by Your Sacred House (the Kaba at Mecca); in order, 0 our Lord, that they may offer prayers perfectly (Iqamat-as-Salat), so fill some hearts among men with love towards them, and (0 Allah) provide them with fruits so that they may give thanks. 0 our Lord! Certainly, You know what we conceal and what we reveal. Nothing on the earth or in the heaven is hidden from Allah." Surah 14: 37-38

Hajar and Ishmael - by Ibn Abbas
Ibn Abbas narrated: "The first lady to use a girdle was the mother of Ishmael. She used a girdle so that she might hide her tracks from Sarah by dragging it. Abraham brought her and her son Ishmael, while she was suckling him, to a place near the Kaba under a tree on the spot of Zam-zam, at the highest place in the mosque. During those days there was nobody in Mecca, nor was there any water so he made them sit over there and placed near them a leather bag containing some dates and a small water-skin containing some water and set out homeward. Ishmael's mother followed him saying: '0 Abraham! Where are you going, leaving us in this valley where there is no person whose company we may enjoy, nor is there anything (to enjoy)?' She repeated that to him many times, but he did not look back at her. Then she asked him: 'Has Allah ordered you to do so?' He said: Yes.' She said: 'Then He will not neglect us,' and returned while Abraham proceeded onwards. On reaching the Thaniya where they could not see him, he faced the Kaba, and raising both hands, invoked Allah saying the following prayers: "0 our Lord! I have made some of my offspring dwell in a valley without cultivation, by Your Sacred House (Ka'ba at Mecca) in order, 0 our Lord, that they may offer prayers perfectly. So fill some hearts among men with love towards them, and (0 Allah) provide them with fruits, so that they may give thanks." Surah 14: 37
Ibn Abbas's narration continued: "Ishmael's mother went on suckling Ishmael and drinking from the water (she had). When the water in the water-skin had all been used up, she became thirsty and her child also became thirsty. She started looking at him (i.e. Ishmael) tossing in agony. She left him, for she could not endure looking at him, and found that the mountain of As-Safa was the nearest mountain to her on that land. She stood on it and started looking at the valley keenly so that she might see somebody, but she could not see anybody. Then she descended from As-Safa and when she reached the valley, she tucked up her robe and ran in the valley like a person in distress and trouble, till she crossed the valley and reached the mountain of Al-Marwa. There she stood and started looking, expecting to see somebody, but she could not see anybody. She repeated that (running between Safa and Marwa) seven times."