Ok, well I didin't know if followups were expected but clearly we have that opportunity! I am still working on the Burley Duet. My time is limited so the list of winter projects may stretch into .... well the title didn't specify which year!
So the bike was disassembled:
The decals were peeled off to be sent for duplication (since received):
Paint stripper was applied multiple times to get all the paint off (the stoker bb is not worth removing so will be masked off):
Rust was attacked with OA, wire wheel, and and the fork treated with a converter to get to the hard to reach spots.

I didn't like the origianal location of the drag brake reaction arm as it was difficult to remove the wheel and the arm rubbed on the frame/paint:

So I took the frame to a local guy that did the work on the Bike Friday last year and had him move the anchor:
The fork was painted, when we had a break in the temperature last weekend, with etch primer and thats where we sit. Next step is to assemble the whole bike and try it out. Too cold to paint.
A friction thumb shifter was purchased for $5 to provide single controls of each brake. Also found a nearly new Arai brake for $5 to replace the corroded one.
Parts are being cleaned and polished including the crank which were pitted, so they were subjected to Easy Off and are being sanded prior to polishing. The RD and FD need to be cleaned and the timing chain is soaking in oil after an OA bath.