Nonesuch (version 3)
for a line of four numbered couples
Reconstructed by Dafydd Cyhoeddwr to be closer to the source
Note:  this reconstruction only uses Nonesuch as a reference, ignoring A la mode de France
Music: Playford Re-Play’d (not enough repeats, of course) - 15 repeats are required, among others
My patched together version comes from both the familiar Playford Re-Play'd version (also heard on an edition of the EK Dance Tape and the Tape of Dance 4), and the Mark Gilston version from English Country Dance Tunes for Dulcimer, Volume 1
Part 1, Verse 1
1: Couples take inside hands, face up the hall; lead up a double
2: Fall back a double
3&4: That again, face your partner
5&6: Set and turn, left
7&8: Set and turn, right
Part 1, Chorus 1
Please note that in this chorus, everyone progresses up and back down the line following normal "virus" (progressive, 1st couple leading, etc) dance conventions.
The instruction "Doe thus to the last" is a code for progression with the real question being whether it means exactly what it says (i.e. invert the line) or go all the way down and back up.
In order for the dance to work properly, everyone needs to be back where they started at the end of the chorus.
1: Moving couple(s) (couple one to start) meet a double
2: Slip down between and just past the next couple in line (couple two to start)
3: Turn outwards (down the line) in a 3/4 circle to face the person on your own side
4: Push this person back a double into the place you just came from (inverting the couples)
5: Still keeping both hands, turn this person so their back is into the center of the line (i.e. so the inactive pair (couple 2 to start) end up back to back)
6: Turn them back the opposite way so that they end up back in their new places
7&8: Turn your partner all the way around
Repeat Figure 1 as follows:  
Couples 1 and 3;   
Couples 2 and 3, and 1 and 4;
Couples 2 and 4;
Couples 3 and 4, and 2 and 1;
Couples 3 and 1;
Couples 4 and 1, and 3 and 2;
Couples 4 and 2;
And finally, couples 4 and 3.
Part 2, Verse 2
1&2: Side left with your partner (double forward to line up right shoulders, double back)
3&4: Side right with your partner (double forward to line up left shoulders, double back)
5&6: Set and turn, left
7&8: Set and turn, right
Part 2, Chorus 2
1: Man 1 slip/walk a double into the center of the line, slightly above his starting position, facing down the line
2: Woman 1 slip/walk a double into the center to face her partner (facing up the line)
3: Man 2 slip/walk a double into the center facing down
4: Woman 2 slip/walk a double into the center facing up
5: Man 3 slip/walk a double into the center facing down
6: Woman 3 slip/walk a double into the center facing up
7: Man 4 slip/walk a double into the center facing down
8: Woman 4 slip/walk a double into the center facing up (completing the line)
Part 3, Verse 3
1&2: Arm left with your partner
3&4:  Arm right with your partner
5: Everyone take four slips to the left
6: Everyone take four slips to the right (to line up again)
7: Everyone take four more slips to the right
8: Everyone take four last slips to the left (to line up again)
Part 3, Chorus 3A
1: Man 1 slip/walk a double to his left to end up in woman 1's usual place in the set
2: Woman 1 slip/walk a double to her left to end up in man 1's usual place in the set
3: Man 2 slip/walk a double to his left into woman 2's usual place
4: Woman 2 slip/walk a double to her left into man 2's usual place
5: Man 3 slip/walk a double to his left into woman 3's usual place
6: Woman 3 slip/walk a double to her left into man 3's usual place
7: Man 4 slip/walk a double to his left into woman 4's usual place
8: Woman 4 slip/walk a double to her left into man 4's usual place
Note: this "unzipping" figure will end with everyone "improper" - on the opposite side of the set from normal
Part 3, Chorus 3B
This will be a single, handed hey starting with right hands, but it is unusual in that it is a "U"-shaped hey -- no one will cross from one line to the other across the top of the set, only the bottom.  This means that there will, on alternate measures
there will be two people doing nothing but waiting.
1: These pairs take right hands and trade places in four counts:  man 1 and man 2, man 3 and man 4, woman 1 and woman 2, woman 3 and woman 4 
2: The middle two people in each line (here, man 1 and man 4, woman 1 and woman 4) and the bottom couple (couple 3) take left hands and trade places in four counts.  Couple 2 just stands for this measure.
3-8: Continue in this pattern, alternating having both sets of people on each side switching, and the middle people and the last couple switching, with the top two people sitting out for a measure.
When you reach your normal place (with everyone above you also in their normal places), stop dancing.  It will take 8 measures - one repeat of the music - to return everyone to their places on their own side of the set.
It takes 15 repeats of the music to do the dance like this.
This version was necessary when it was pointed out to me that in the first part of the third chorus, the manuscript indicates that the dancers leave the single-file line to their left, which puts them on the opposite side of the set.
At first, I couldn't reconcile this with the necessity of doing the hey 1) in an even multiple of 8 measures, and 2) in a simple enough way that the minimal instructions would be enough to trigger that progression.
Also, the manuscript doesn't usually say "single hey" unless it means only one side is doing it, or maybe both sides at the same time, but not crossing over.  Here the manuscript not only says single hey, but it indicates hands, indicates
direction, and indicates that you 'come up on your owne side'.  This (finally) showed me how to do the final hey simply enough that the directions made sense, and finally fully separated this dance from A la Mode de France (which is
where the "couple 1 changes across first" in the previous reconstruction came from).
A Note about the name of the dance:
Nonsuch Palace was possibly the greatest of King Henry VIII's building projects.  It was built in Surrey by the Thames, started April 22, 1538 and mostly finished by 1541 (though construction continued for a few more years).
The name "Nonsuch" was given to it during construction because it was claimed there was no such palace elsewhere equal to its magnificence.
It was destroyed in 1682 or so by the Countess of Castlemaine, mistress of Charles II (the building materials were sold to pay gambling debts).