They took them to the halls of the Elven King in his hall, a large cave at the edge of Mirkwood. The wood elves of Mirkwood, in The Hobbit, took the thirteen dwarves to their king's halls, where they were locked in by cellars and a magic gate.
Context would be nice. However, by far the most famous work I can think of which has "wood elves" and "dwarves" is The Hobbit, in which the wood elves take the dwarves captive and bring them before their king Thranduil in "his halls" (the "halls" appear to be a sort of cavern system, though possibly that's only the cellars/dungeon in which the dwarves are kept until Bilbo rescues them).
The dwarves were captured and imprisoned by the elves in Mirkwood. Bilbo had to keep entering to form a plan and carry it out.
{| |- | In Chapter 9 of The Hobbit, the dwarves were captured by the elves. They had just escaped from the spiders in the previous chapter and were wandering around the forest. They were hungry and looking for food when they encountered the elves' feasting in the woods. After several failed attempts to 'crash the party' they were all captured, except Bilbo, who used his ring to escape. |}
I would think that he's referring to the imprisonment of the dwarves. The dungeon of the elves is underground.
Yes, in chapter 9 the dwarves (but not Bilbo) were imprisoned by the Wood-elves in Mirkwood forest.
Bilbo was enchanted by the opportunity to spend time with the elves. The Dwarves were suspicious of elves, always had been. the Dwarves were also mad at the Elves when they first entered Rivendell because the Elves were making fun of their beards.
the dwarves were captured by thorn and the wood elves long enough for bilbo to help them escape
Bilbo kept from being captured by the Wood Elves in Mirkwood by using The Ring to turn himself invisible. He slipped in after the company of Elves that had captured the other members of The Company (namely, the twelve dwarves) as the Elves were escorting the dwarves into the Elven fortress.
He doesn't. Instead, he puts on his Ring and sneaks unseen with the captive dwarves in with them.
Bilbo gets lost in the tunnel with Gollum, The dwarfs nearly get eaten by spiders and then they get captured by elves, and Bilbo nearly causes a war by giving the elves the dwarfs most prized possession.
The Dwarves will get captured by the giant spiders who plan to eat them, Bilbo rescues them, only for them to be captured again by the Elves.
The dwarves were captured and imprisoned by the elves in Mirkwood. Bilbo had to keep entering to form a plan and carry it out.
The elves.
{| |- | In Chapter 9 of The Hobbit, the dwarves were captured by the elves. They had just escaped from the spiders in the previous chapter and were wandering around the forest. They were hungry and looking for food when they encountered the elves' feasting in the woods. After several failed attempts to 'crash the party' they were all captured, except Bilbo, who used his ring to escape. |}
They escape in barrels sent downriver to be filled.
as Bilbo was wanting to make peace so there is no war
Bilbo met the Dwarves in Chapter 1. He met Trolls in Chapter 2. He met the elves of Elrond's house in Chapter 3. These would have been mostly Noldorin elves, but Sindarin elves and Sylvan elves would have been present also.
No. Bilbo Baggins did not die; he, Frodo and the rest of the Ring-bearers went with the elves into the Undying-Lands. Undying = does not die.