Oil was applied to the sick, and also to wounds ( Isaiah 1:6; Luke 10:34; Mark 6:13; and James 5:14).
Isaiah 1:6
From the sole of your foot to the top of your head there is no soundness— only wounds and welts and open sores, not cleansed or bandaged or soothed with oil.
Oil was also a symbol of breaking a yoke
Isaiah 10:27
It will happen in that day, that his burden will depart from off your shoulder, and his yoke from off your neck, and the yoke shall be destroyed because of the anointing oil. (WEB)
And it shall come to pass in that day, that his burden shall depart from off thy shoulder, and his yoke from off thy neck, and the yoke shall be destroyed by reason of fatness. (ASV)
And in that day the weight which he put on your back will be taken away, and his yoke broken from off your neck. (BBE)
And it shall come to pass in that day, that his burden shall be taken away from off thy shoulder, and his yoke from off thy neck; and the yoke shall be destroyed because of the anointing. … (DBY)
And it shall come to pass in that day, that his burden shall be taken away from off thy shoulder, and his yoke from off thy neck, and the yoke shall be destroyed because of the anointing. (KJV)
And it shall come to pass in that day, that his burden shall be taken away from off thy shoulder, and his yoke from off thy neck, and the yoke shall be destroyed because of the anointing. (WBS)
And it shall come to pass in that day, that his burden shall depart from off thy shoulder, and his yoke from off thy neck, and the yoke shall be destroyed by reason of fatness. (JPS)
And it hath come to pass, in that day, Turned is his burden from off thy shoulder, And his yoke from off thy neck, And destroyed hath been the yoke, because of prosperity. (YLT)