User blog comment:TwilightReaderFan/Song Request/@comment-27072392-20151118205836

The song is NOT 'The Bear & the Maiden Fair,' nor 'The Rains of Castamere.' The song is most likely by the chief music composer for the show - and used to fill in quiet moments or gaps.

Here's how one MIGHT find the song. Many DVD's have tracks that are purely instrumental - with no other sound. So, you play the DVD video - but then change the sound track to the music only. You'll still have the video playing - but with ONLY musical scores. One could hopefully acquire the CD and hope that it has a music track. If it does, one only needs to record the section where the song begins and ends - then you have it.

I noticed that there is an episode of 'Game of Thrones' online that plays the video along with the music track. However, it is NOT the correct episode. You will need: Season 4, Episode 2, The Lion & the Rose. Switch sound to music only; then start recording around the time when Margaery stands to deliver her speech (about the food being donated to the poor). The song continues UNTIL Cersei begins a conversation with Brienne.

I have NOT come across that particular episode playing with the music track online. If I do, I'll let you know.