Ringil:

Fingolfin's sword. With this sword, Fingolfin, the High King of the Noldor, wounded Morgoth seven times. The sword apparently shone like ice.

The Ring of Barahir:

The ring given to Barahir by Finrod Felagund in the First Age of the Sun. When Barahir was slain by orcs, Beren his son recovered the ring, which the orcs had taken as a trophy. The Ring of Barahir survived the Second Age and the Third as an heirloom of the North Kingdom. Arvedui, the last King of Arnor gave the ring to the Lossoth, the Snow-Men of Forochel, from whom it was ransomed back.

Rings of Power:

The nineteen most powerful rings made by the Elven-smiths of Eregion. There were a total of twenty Rings of Power as told in the verse:

Three Rings for the Elven-kings under the sky,
Seven for the Dwarf-lords in their halls of stone,
Nine for Mortal Men doomed to die,
One for the Dark Lord on his dark throne
In the land of Mordor where the Shadows lie.
One Ring to rule them all, One ring to find them,
One Ring to bring them all and in the darkness bind them
In the land of Mordor where the Shadows lie.

The last Ring was made by Sauron as the Ruling Ring. With the destruction of this Ring, the remaining Rings lost their power.

The Ruling Ring:

Another name for the One Ring.

The Red Book of Westmarch:

The book written by Bilbo, Frodo and Sam, from which The Hobbit and The Lord of the Rings was taken. Along with this book were four more, consisting of three volumes, titled, Translations from the Elvish and one which was the family trees of those hobbits in the Company of the Ring. The original titles the books were divided into were:

There and Back Again
The Downfall of the Lord of the Rings
The Return of the King
Translations from the Elvish

The Red Arrow:

A sign of need between Rohan and Gondor. It was fletched with black, and a red-painted steel head.

The Hobbit
The Lord of the Rings
The Silmarillion
The Complete Guide to Middle-Earth by Robert Foster
The Unfinished Tales