I picked these up on a walk. The longer piece of fiber is from a leaf that probably lay on the pavement all winter and was naturally 'retted' which separated the strands. They are extremely strong and impossible to tear by hand. I think it may be New Zealand Flax, a ubiquitous garden plant around here.
The flowers had all fallen. I like the pinks with the browning edges. The magnolia buds have a strange, touching, dead weight to them.