You Toob animation not the dance that I was familiar with, but then the version we dance commonly is properly the "City Brawl" written by Eddie Upton. He tried to make it appropriate by making a horseshoe shape, and the format lends itself to not needing a set number (10 can do it if they know the dance, 6 or 7 will suffice) and you don't need a partner, nor does the dance. What I calls a mixer dance. Inclusive, a "get the wallflowers up and in" dance. What social dance is all about IMNSHO.

Wki on Thoinot Arbeau (aka) French cleric Jehan Tabourot who did the French equivalent of John Playford's (wiki) EDM (website has no music)

ORCHESOGRAPHY - By JOHN WEAVER, Dancing-Master - Gutenburg Project only a hint of Arbeau and no horses or Bransles/Brawles.

I was sure I had seen a website that listed Horse's Bransle as a tune not the dance in the EDM but it is proving very elusive, and my copy of Encyclopaedia Blowzabellica seems to have danced away. It might have had useful references.