For the record, an image of the oldest fragment of textile ever found. This is a Neolithic fragment of linen from Egypt circa 5000BC—a shred of clothing that belonged to someone 7000 years ago. There are only a few other fragments in the world almost as old as this one, and all are linen from the Nile Valley where the arid sand preserves wood and cloth extremely well. The weave here is the most basic 1-over-1 flat weave. Apparently linen really does last forever. Its fibres are the longest of any plant-based textile, strengthen when wet, and are resistant to decay, which is why it was used to wrap mummies.
Via here.