Drums used to be made out of wood and dries animal skins. Now
they are made from metal, plastics and the "skin" is synthetic or
man made.
Many snare drums are made from wood. Maple and birch are the
most common woods. Yamaha has an oak snare that's good.
The heads on a snare are, today, almost always made of mylar.
You can get heads made from animal skin, but most drummers play
mylar.
As for the snares...some snares are made from (synthetic) gut,
but most are made of wire.