This is the big mountain circle dance. Here is the link for the tutorial video that we learned the big mountain circle dance from and the music as well. geslisongroberg.com/hoedownpioneer-trek-music-and-dance-instruction-free-download/
Thanks so much to everyone who helped with the video and also to those who make the tutorials provided the music!
We only had enough people for 3 squares, while it is usually danced in sets of 4 squares, but we have done it with as many as 5 squares. It works as long as you have an even number of couples.