While it's not on the official soundtrack, it was composed by Howard Shore, who wrote the entire score for the Lord of the Rings trilogy. Some of the individual pieces used might be based on or inspired by traditional tunes, but they are ultimately original compositions by Shore.
You might be able to find recordings of traditional folk music that evoke a similar feel to the party scene, but it's unlikely to be exactly the same music used in the film.
Here are some keywords to help you search for similar music:
* Traditional English folk music
* Celtic folk music
* Medieval music
* Fantasy soundtrack music
You could also try searching for playlists on streaming services like Spotify or Apple Music with these keywords.