No the white sword is actually called The L1 Sword and the Master Sword is the L3 Sword. The L2 Sword is the Noble sword, and The L1 Sword is called the Wooden Sword.
Cloud's sword is called the Buster Sword.
The sword was called Anaklusmos
Sword handles are called hilts. See the link.
Gandalf's sword is called Glamdring, or "Foe Hammer."
The vorpal sword
In a sheath,that is what the sword case is called
The sword was called Anaklusmos
Cortes Sword
A pirates sword is called a nimcha also known as a scimitar.
A swordfish's sword is called a bill. It is a long, flat extension of its upper jaw that resembles a sword.
The Renaissance fencing sword was a narrowed bladed sword called a 'Rapier'.