Many thanks for the kind remarks. If I remember correctly (I built that model a long time ago), the netting is just a fine nylon mesh that I bought at a fabric store. Such places sell quite a variety of such materials. The trick is to make sure the mesh has a square pattern. Some of it is hexagonal, which looks pretty odd on a ship model.
Actually I think the mesh in this case may be a little too fine. The hammock nettings on restored ships of the period (H.M.S. Victory, for instance) generally seem to be quite coarse, with openings four or five inches wide. But I suspect that sort of thing varied quite a bit from ship to ship and from time to time.
The "ropes" running along the edges of the netting are in fact very thin strips of masking tape. The adhesive on that material doesn't last long; it generally cuts loose in less than a year. If I remember right, I just relied on the tape adhesive to stick long enough for me to paint the edge of the netting - tape and all - with a mixture of black paint and Elmer's glue. I finished the model in 1984 and the hammocks show no sign of falling apart.
We had a good discussion some months back of ways to make sails. It's in a thread titled "Real cloth sails?" It's probably several pages back from this one by now, but you might find it worth reading.
Youth, talent, hard work, and enthusiasm are no match for old age and treachery.