Don't know if you call squares, but Ted Sanella called this square-a number of times when I was lucky enough to dance to his calling.
Sex Change Dance Mixer from Ted Sanella Couple One Swing at Home and Promenade the outside of the Ring All the way, Man One stop at home, Woman One keep going to the left side of Gent Three Those Three go Forward to the middle and Stand There Pat Side Couples R&L Thru-Around the Line of Three Lonely Gent "Do Si Do" around the Threesome then Lonely Gent: Right Hand Round with Partner, Left Hand Round with Woman Three Left Elbow Round with Gent Three, and Take Him Home! Everybody Home with Partner Swing -Four times around and all have changed sex roles. Four more times, and all are back "home"