I can admit to not knowing much about the New York Cotton Exchange so you’re better served reading it’s wikipedia entry. Also, click on the photos to enlarge the detail on them.
Relatedly, it might be of interest for some of the book Speculation as a Fine Art and Thoughts on Life by Dickson Watts who was the President of the Cotton Exchange from 1878-1890. (this document has since been deleted)
There is also a facebook group for people who worked on the New York Cotton Exchange which also has additional photos of the trading pits.