I've checked, and it turns out that all of the novels consistently spell it as "small council", uncapitalized.
I myself was using "Small Council" just because I thought it made more sense. Someone recently moved this page from "Small council" to "Small Council".
The HBO Viewer's Guide capitalizes it: http://viewers-guide.hbo.com/game-of-thrones/season3/#!/appendix/beyond-the-houses/4/
What position did Janos Slynt have when he sat at the Council, before Tyrion sent him to the Wall? Could it be Master of Laws, given that he was Commander of the City Watch?Eljuma (talk) 16:10, May 12, 2014 (UTC)
The commander of the City Watch frequently ends up sitting on the council, in the sense that he reports to it so frequently he's nearly an unofficial member. We put him on for the sake of completion.--The Dragon Demands (talk) 13:30, September 29, 2017 (UTC)
Separate article for Daenerys Targaryen's council
The article is getting too long, and, other than naming Tyrion Hand of the Queen, she hasn't yet created a "Small council in exile" or "True Small Council" parallel to the one in the Red Keep.--Gonzalo84 (talk) 20:00, July 6, 2016 (UTC)