Here are some photos of a couple of woven quivers.
The first is made of umbrella sedge (papyrus sp.) harvested in south carolina. 25 inches long by 3.5 inches in diameter. Stiffened with a length of meadowsweet. Comfortably holds a dozen arrows.
The second is made of black ash harvested in vermont. The weavers were split in half which make them pretty smooth. 24" by 4 an 1/4. Holds 18+ arrows.