I had forgotten about this square. It looked so familiar. Years and years ago, Kathy Anderson called this square at a dance event I attended. My notes show it as "English Dance for Five Couples." I loved this dance!
Forgive my note-taking from so long ago:
The Formation:
Middle couple is C1 and they face the music.
Outside couples shift left 1/8 so they are diagonal to the music.
C1 stands back to back -- M1 faces 4 on his right and W1 faces the 4 on her left.
The Dance:
C1 circles left with the 4 they face (2 separate circles)
Within the same groups, just the 3 gents Star Right (M1 with the 2 gents he circled with) while the 3 women Star Right (W1 with the 2 ladies she circled with)
C1 meet and change groups (M1 dances w/the 4 people W1 danced with and W1 dances with the 4 people M1 danced with); repeat circles and stars
C1 meet again and face any couple they chose (let's call the new couple C2 for clarity) to do the half R&L thru with, using a "power turn" to end facing the next couple to the right of the orig C1 (call them C3)
C3 does a half R&L thru with C4
C4 does a half R&L thru with C5 who becomes the new middle couple