For some interesting information on this dance from the ECD world see:

http://www.cdss.org/dances.html#dukeofkents

http://www.regencyassemblypress.com/The_Duke_of_Kents_Waltz.html

http://dancevideos.childgrove.org/ecd/playford/333-duke-of-kents-waltz

Eric's crib, and Keith Rose's diagram follow the ECD interpretation of this dance as shown in the videos.  Whetherly Book 24 differs:

1-8    First and second couples dance right hands across in a wheel and back with the left hands

9-16  First couple lead down the middle and back

17-24  First and second couples allemande

25-28  First couple turn first corners with the right hand

29-32  First couple turn second corners with the left hand