It looks like some sort of organic spaghetti, and it is growing strong at a few places at the Celery Farm. A friend of the blog wondered just what that weird stuff is, and I'm not sure I can be very helpful.
The good news is that it appears to be native and not horrendous, bit the operative word is "appears."
This is the best description I found on the Web: "Dodder, a parasitic plant that lacks chlorophyll."
If anybody else can provide more info, please do.