Longbow=Iron Hunting Bow=Steel
The Hunting bow benefits the steel smithing perk I think.
Yeah. Bows being made out of any kind of metal, is just stupid. While some small metal components may be used in modern high-tech bows, every bow in past history was made from wood, horn, animal sinew, or other non-metal materials of some form. Metal doesn't bend worth a crap, and bending is what makes bows do what they do. Metal is also very heavy, and bows are all about lightness and ease of carrying and shooting. Crossbows are an exception of course, with lots of metal parts in their stocks. But even with crossbows, the actual 'bow' part is not metal.
The thought of bows being made out of the same stiff, very hard and heavy metal that swords, maces and armor can be made out of (ebony, moonstone, dwarven metal, glass, etc.), is chucklicious. But hey, it's a fantasy.