There are various types of “orange essential oil”, they possess similar properties, but the orange oils may be extracted from different parts of the orange tree and also from different varieties of the same orange tree species.
Sweet orange (Citrus sinensis) is probably the most commonly used orange essential oil, and is produced from the fruit of the Orange tree.
Other 'orange' essential oils tend to be from the bitter orange tree: Petitgrain Oil being produced from the leaves, Neroli Oil from the blossoms, and Bergamot being pressed from the peels.
As for oily skin it may seem strange to use an oil to assist with oily skin, but I would suggest you try using Jojoba Oil it is a great natural skin moisturizer
Jojoba Oil is almost identical organically-speaking to sebum, which is the natural oil produced by your skin. Studies on jojoba oil show that it has the ability to prevent skin from becoming too oily. This is due to the fact that putting jojoba oil on our skin can trick our cells into thinking they have produced enough oil.
Remove any surface dirt and makeup from your skin, then put just a few drops of jojoba oil into your hand and rub it into your skin when you start to work jojoba oil into the skin, the oil penetrates into the pores. As jojoba closely resembles your skin's own oil, moisturizing with jojoba oil sends the message to your pores to stop overproducing the sebum that causing the oily skin.
As well as being a great natural moisturizer it can also help with acne, Jojoba Oil penetrates into the skin without clogging pores and is suitable for all skin types it contains vitamin E and antioxidants which are great for fighting aging signs and moisturizing the skin.
Hope this helps!