I looked at many more sources than are listed here, but these were the most relevant.
Barber, EJW, Prehistoric Textiles (Princeton 1991).
Adovasio, James M, et al, Upper Palaeolithic fibre technology: interlaced woven finds from Pavlov I, Czech republic, c. 26,000 years ago, Antiquity 70 (1996), 526-534.
Kvavadze, Eliso, et al, 30,000-year-old Wild Flax Fibers, Science vol 325 (11 Sept 2009) 1359.
Leroi-Gourhan, Arlette, The Archaeology of Lascaux Cave, Scientific American June 1982, 80-88.
http://anthropology.net/2009/09/11/flax-fibres-dated-to-34000-years-bp-found-at-dzudzuana-cave-georgia/ (accessed January 4 2015).
http://archaeology.about.com/od/middlepaleolithic/ss/textile_dzudzuana.htm (accessed March 30 2015).
Blackman, Margery, “The Weft-Twined Structures of Cloaks of the New Zealand Maori” (1998). Textile Society of America Symposium Proceedings Paper 147. http://digitalcommons.unl.edu/tsaconf/147 (accessed February 6 2015).
Te Rangi Hiroa (Sir Peter Buck), The Coming of the Maori (Wellington 1949), 164-178.
Neolithic and Bronze Age:
Médard, Fabienne, Vestiges textiles et activités de filage sur le site néolithique d’Arbon-Bleiche 3 (TG, Suisse), Bulletin de la Société préhistorique française 100 (2003) 2, 375-391.
Rooijakkers, CT, Spinning animal fibres at late neolithic Tell Sabi, Abyad, Syria, Paléorient 38 1-2 (2012), 93-100.
Shishlina, N.I., Orfinskaya, O.V., Golikov, V.P., Bronze Age Textiles from the North Caucasus: New Evidence of Fourth Millennium BC Fibres and Fabrics, Oxford Journal of Archaeology 22, No. 4 (November 2003) 331-344.
Hodges, Glenn, Tracking the first Americans, National Geographic 2015 01.
Strawn, Susan M., Hand Spinning and Cotton in the Aztec Empire, as Revealed by the Codex Mendoza, in Silk Roads, Other Roads: Textile Society of America 8th Biennial Symposium, 2002, Northampton Massachusetts. http://digitalcommons.unl.edu/tsaconf/550/ (accessed February 6 2015).
http://archaeology.about.com/od/gterms/g/guitarrero_cave.htm (accessed January 18 2015).
http://archaeology.about.com/od/aethroughalterms/a/Agave.htm (accessed January 18 2015).
Weaving on a warp-weighted loom:
Norske Folkemuseum has a number of videos of weaving on Youtube. You can see a 1956 silent film of the whole process, from setting up the loom, at https://www.youtube.com/watch?v=a19lGJGOZWY
Another good one, from 1947, is at https://www.youtube.com/watch?v=6PD-FASC6ZQ
Elizabeth Barber’s book (above) has a lot about warp-weighted and other early looms.