A Vegan, ideally, would be a person who uses no animal products in their lifestyle at all. No dairy or meat of course, but also no leather in their shoes or purse, wallet or belt. No honey or gelatin, no lanolin. The true Vegan would have no wool sweaters or blankets, use no products that test on animals nor keep animals for pets. Vegetarians are people who might like to be Vegan but can't live up to the name.
Some vegetarians use milk products and eggs.
Any meat product, even fish, is NOT vegetarian. The term Vegetarian was first coined in 1847 in Kent, England at the first meeting of the Vegetarian society. It is derived from the Latin word vegetus meaning fresh, whole or sound. Ovo-Lacto Vegetarians eat eggs and milk or sometimes just one of the other. Low Fat Vegetarian, what this list encourages, is again a smaller group of vegetarians.