Jacob Bloom mentioned this dance:
  Borrowdale Exchange - Scatter mixer
 Formation: three couples in circle
 
 Circle left, Circle right
 Forward and Back, partner dosido
 Hands-across right hand star.  Starting with the two people whose hands are lowest, each
pair pulls their partner to them for a swing
 Promenade with your new partner to make new sets 
I've also seen something similar where dancers mix only
within their group of three couples (eventually getting
original partners back) and throughout the whole hall.
You can see a version called by Phil Jamison (under the
name "Pull the Lady Through") here:
     
http://squaredancehistory.org/items/show/301
     (also at 
https://www.youtube.com/watch?v=Pm5KTs-yTI8 )
And here's an archived message where I described (as best I
remembered it) a version I danced to the calling of Dolores
Heagy:
    
http://lists.sharedweight.net/pipermail/callers-sharedweight.net/2014-March…
Jacob also mentioned:
  Billingsdale Pattern - Chip Hendrickson
 Two couples in line, women back to back
 
 Hey for four
 Dosido partner, Swing
 Right hand star, Left hand star
 Ladies Allemande R once and a half, Allemande L Neighbor.  Start with Ladies back to back
first two times, Gents back to back second two times. 
On page 81 of _Zesty Contras_, Larry Jennings describes both
"Billingsdale Pattern" and his own variant of it, titled
"Chippendal Ornament".)
--Jim