Cigarette girl in European and American context generally refers to a person that sells or provides from a tray held by a neck strap. They may also carry cigars, and many novelty items like lighted roses, candy, snacks, chewing gum, lighted jewelry, and lighted yo-yo's on their trays.
Cooking oil is plant, animal, or synthetic fat used in frying, baking, and other types of cooking. It is also used in food preparation and flavouring that doesn't involve heat, such as salad dressings and bread dips, and in this sense might be more accurately termed edible oil.