Onward we go, with figures two and three of The Nahant Quadrilles!
For figure two, the music (available here) has two strains with a Da Capo, which works without any tweaking. The Spare Parts recording matches my reconstruction.
The original language for the figures:
Four ladies grand chain. Forward & back 1st two. Back to back. Repeat 4 times.
This is a very short figure, only sixteen bars. The second half is very straightforward: the first pair (first lady and opposite gentleman) go forward and back then perform a dos-à-dos. As in the first figure, each time through this is a different pair.
The first half, however, presents an interesting choice.

