Midrash sur Rois 2 4:34

Precious oil is possessed by men of wealth, but a good name may be attained by poor and rich alike. A good name adheres to the living and the dead, while precious oil exists for the living alone. The scent of precious oil may travel from the sleeping chamber to the anteroom, but a good name travels from one end of the earth to the other. When precious oil falls upon a corpse, it become putrid, as it is said: Dead flies make the oil of a perfumer fetid and putrid (Eccles. 10:1), but when a good name is possessed by a deceased person, it does not deteriorate, as is said: And he went up, and lay upon the child, and put his mouth upon his mouth, and his eyes upon his eyes, and his hands upon his hands, and he stretched himself out upon him; and the flesh of the child waxed warm (II Kings 4:34). Another explanation. When precious oil falls into water it floats away, but a good name does not float away, as is said: And the Lord spoke unto the fish, and it vomited out Jonah upon the dry land (Jonah 2:11). Another explanation. When precious oil falls into a fire, it is consumed, but when a good name falls into fire, it is not consumed, as is said: Then Shadrach, Meshach, and Abed-nego came forth out of the midst of the fire (Dan. 3:26).

Now as for Gehazi, the matter was laughable in his eyes, and to every man whom he met || he said: Dost thou believe that this staff will bring the dead to life? Therefore he did not succeed until (Elisha) went on foot and put his face upon the face (of the child), and his eyes upon his eyes, and his hands upon his hands, and he began to pray before the Holy One, blessed be He: Sovereign of all the worlds ! Just as Thou didst perform miracles by the hand of Elijah, my master, and brought the dead to life, likewise let this child live; and He was entreated of him, as it is said, "Then he returned, and walked in the house once to and fro; and went up, and stretched himself upon him" (2 Kings 4:35); "and the child sneezed seven times" (ibid.).