Does a vegetable oil that is used to light the Shabbos lamp need a hechsher? I am talking specifically about extra virgin olive oil and coconut oil.
Although shabas oil/candle need not be kosher for eating, it can't be made of orla or anything else that we may not drive benefit from (Beur Halacha 264 "Chutz"). If you have the right to be confident that your oil lacks those things, you're fine. Ask your rabbi for practical guidance.