Mithril was exceedingly rare certainly. It was, according to
Tolkien, mined only in
Moria and in
Numenor, although I believe in a letter he says it may have been mined in
Aman. So, let's deal with the products of the two sources...
Most of what was mined in Numenor presumably sank when Numenor fell. One Numenorian king was named "silver handed", I believe the silver actually being
true-silver, aka Mithril. I speculate that the couple of hundred helmets that were worn by the
Minas Tirith guard may have been Mithril helmets that were brought from Numenor by
Elendil and his followers, that would certainly fit the description "but the helms gleamed with a flame of silver, for they were indeed wrought of mithril,
heirlooms from the glory of old days." It's also possible the helms were only decorated with mithril, if not originally, then perhaps originally solid mithril helms were melted down to make mithril available for other uses (if only to make more helmets with less actual mithril in them) once it became exceedingly rare and valuable.
Most of what was made in Moria was presumably horded by the
Dwarves, kept for use in only the finest and rarest of treasures, and only grudgingly traded or gifted. We do know that the
Elves valued it and a portion of what was produced in Moria was traded to the Elves. That portion was used for making Ithildin, at least one of
the rings of power (Nenya,
Galadriel's ring), and of course the famous mithril shirt that
Thorin gifts to
Bilbo.
Whatever portion of the mithril that remained in Moria was lost when the
Balrog arose and
Khazad-Dum was abandoned. We are told that
Sauron gathered most of the mithril of
Middle Earth to himself, although for what reason is never given, but its value is obvious, so greed would be sufficient reason.
The mithril shirt was made for an unknown Elven prince, but I expect it was not
Legolas. It was more likely made much earlier, likely for a young prince of Eregion at a time when mithril was in production, and so while rare and valuable, it was not nearly as much so as it was by the time of the late Third Age. I doubt it was ever in
Thranduil's possession as he only claims
the White Gems of Lasgalen which he had given to the Dwarves to make into a necklace for his wife, but which he never received back due to a payment dispute, and then of course,
Smaug setting up shop in
Erebor. If he had also commissioned the Mithril shirt for Legolas then surely he would have mentioned that in his claim for treasure from Erebor. I also think that Thranduil just was not rich enough that he could have afforded to buy the mithril shirt, or if it was actually made at Erebor, he couldn't have afforded the price of that much mithril. The
Woodland realm just doesn't sound like it is that wealthy a
realm. If anything, they were likely in a trade deficit situation - whatever they were paying the Lakemen for the deliveries of wine and fruit, it wasn't being put into barrels that were being returned when emptied. I think it's quite possible that Thranduil was having a hard time keeping himself in style, Tolkien doesn't mention anything that they were trading anyways. They may have been collecting tolls on the forest road at one time and I expect they could do some business in game and hides, and likely shipping wood to Erebor, but that's never actually mentioned, although floating logs down river would have been easily viable if barrels worked.
So, to sum it up, while we don't know how the mithril shirt ended up in Erebor, I expect that it was the only significant mithril artifact in Erebor and almost certainly the only
armor - unless there happened to be a matching helmet or the like that was misplaced somewhere. Mithril was not mined in Erebor, Tolkien says most of what was in Middle Earth was gathered up by Sauron over the millenia, and so very little likely made it to Erebor or the other
dwarf kingdoms.