What of the West-Dwarves?

[Imperica]

Originally Posted by Unfinished Tales-The Quest of Erebor

It was this that led to the War of the Dwarves and the Orcs, which ended in the Battle of Azanulbizar before the East-gate of Moria in the year 2799. Afterwards Thrain and Thorin Oakenshield dwelt in the Ered Luin.

Afterwards Thrain was captured in 2841 east of the Anduin and imprisoned in Dol Guldor where Gandalf found him in 2850. We can assume that a small amount of Dwarves lived there for at least 51 or so years.

Originally Posted by Unfinished Tales-The Quest of Erebor

"For just as I was nearing Bree I was overtaken by Thorin Oakenshield, who lived then in exile beyond the north-western borders of the Shire" - Gandalf

I assume this means the Ered Luin.

Originally Posted by Unfinished Tales-The Quest of Erebor

He (Thorin) seemed content to remain in Eriador. There he laboured long, and gained such wealth as he could; and his people were increased by many of the wandering Folk of Durin that heard of his dwelling and came to him. Now they had fair halls in the mountains, and store of goods, and their days did not seem so hard....

Again, I assume the reference to Eriador to be the Ered Luin, but I am thrown off by it stating to a certain extent "They laboured long and had fair halls" implying that they were new and would not be the ancient mansions of Nogrod and Belegost...

There is alot more information but I am too sleepy.

[The Might]

There still were some in the Third Age in the south of the Ered Luin and these were probably either descendants of those that never left the area or of those that fled after the awakening of Durin's Bane.

and then the glory of Moria passed, and its people were destroyed or fled far away.

went into the far North to the Grey Mountains, where most of Durin's folk were now gathering

Both from the Appendix.

So first it's said that the people of Khazad-dûm fled far away and then that Durin's folk was gathering in the north. So what about the others?
Maybe they decided to go back to their ancestral homes and split up with Durin's folk.

They clearly would have had contact to Thráin and so some went with him on the quest.

[Groin Redbeard]

Originally Posted by Imperica

Afterwards Thrain was captured in 2841 east of the Anduin and imprisoned in Dol Guldor where Gandalf found him in 2850. We can assume that a small amount of Dwarves lived there for at least 51 or so years.

Quit right Imperica. Infact, if I'm not mistaken, I believe all of the thriteen dwarves with Bilbo were from the Blue Mountains.