Whenever you first meet Sesshomaru in the 1st Season Jaken has been with Sesshomaru even before the series started. You do get to see a flashback Jaken has. He tells Rin about his first encounter with Lord Sesshomaru and why he is so loyal in Season 3 Episode 79: Jaken's Plan to Steal Tetsusaiga
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
Cortes Sword
The sword was called Anaklusmos
In a sheath,that is what the sword case is called
A pirates sword is called a nimcha also known as a scimitar.
The sword was Godric Gryffindor's sword.