If I can be a little nitpicky here: In the beginning the dwarf said: "Ah, the Mines of Moria. I hope this will lead to Dwarrowdelf." Now the Mines of Moria is just a nickname for Khazad Dum. Which translate to Dwarrowdelf.
So basically he just said: "Ah, Dwarrowdelf. I hope this will lead to Dwarrowdelf."
(Alright fine, they probably refer to the actual mines of Khazad Dum. And with "Dwarrowdelf" possibly just the Pillar-hall. But that's still wrong so I win.)