From Balance Me Beautiful:

Certain essential oils are very helpful for skin care in general.Essential  oils are useful for accelerating cell rejuvenation, boosting  circulation, increasing hydration, improving skin condition, protecting  skin from free radical damage, and for lightening and brightening the  skin. Your skin is your body’s largest organ and by using  essential oils you can help it to function at an optimal level,  especially with regard to hydration. Damaged and dehydrated skin cells  are unable to absorb melanin properly which results in the formation of  dark patches. Essential oils won’t bleach your age spots in any  way, instead they work at a much deeper level to restore skin health and  support your skin’s own ability to fix itself. As such you will need to  apply your oils consistently over a period of time before you notice  any improvement. (Read more.)

And here is a quote from another article about natural and healthy ways to care for aging skin, from Balance Me Beautiful:

 Essential oils are a must have for older skin because they can help  to counteract some of the main challenges facing mature skin. As skin ages after menopause, fewer blood vessels reach the skin’s surface,  and that’s a big problem because it’s the blood vessels that carry  nutrients to skin cells. Now, essential oils won’t create new  blood vessels, but the following oils can boost circulation, allowing  the remaining blood vessels to work more efficiently:

  • Coriander (Coriandrum sativum)
  • Eucalyptus (Eucalyptus globulus)
  • Cypress (Cupressus sempervirens
  • Ginger (Zingiber officinale)
  • Rosemary (Rosmarinus officinalis)

To counter dryness and reduce the appearance of lines and wrinkles try:

  • Geranium (Pelargonium graveolens)
  • Frankincense (Boswellia carteri)
  • Clary Sage (Salvia sclarea)
  • Neroli – also known as Orange Blossom (Citrus aurantium)
  • Ylang Ylang (Cananga odorata)

To calm inflammation and irritation use:

  • German Chamomile (Matricaria recutita)
  • Lavender (Lavandula angustifolia)
  • Peppermint (Mentha piperita)
  • Helichrysum (Helichrysum angustifolium)

For antioxidant protection use:

  • Cinnamon Leaf (Cinnamomum zeylanicum)
  • Tea Tree (Melaleuca alternifolia)
  • Clove Bud (Syzygium aromaticum)
  • Peppermint (Mentha piperita)
  • Lavender (Lavandula angustifolia)

Before  using any essential oil on your skin, you must first dilute it with a  carrier oil to prevent irritation or possible allergic reaction. Even  though these oils are natural, they are still very potent, and incorrect  use can result in painful rashes and sores, or even chemical burns. Always dilute!Jojoba oil is a good carrier oil for mature skin  because its composition is so similar to the natural sebum that the skin  produces, sebum that mature skin is low on. Jojoba can be further  improved by the addition of a few drops of castor oil.Other  excellent carrier oils for older skin are Avocado oil, Argan oil, Black  Seed oil, Camellia oil, Hemp Seed oil, and Moringa oil. (Read more.)