If you are talking about the thing that you use to get the arrows out of while you are shooting, then that is called a quiver... If you are talking about the thing that you use to keep your arrows safe, then it is what it sounds like- an arrow case
The Bull
Ambridge
Brookfield Farm
Soldiers who mainly fired Arrows were called Archers.
Quiver
Quiver.
Those are Quivers.
A Quiver is used to hold arrows and it is attach to the bow. You can also get side quiver that you wear around your waist.
The Bull
The Archers
Ambridge
Brookfield Farm
Artemis shoots arrows.
This is the name for a small case or box used by a botanist to carry plant specimens.
Quiver
The person making the arrows is a fletcher.
War of arrows