I had two garters of fine leather with copper-alloy-buckles, yet I lost them somewhere along the event-season. I definitely needed new ones. From wool this time
Examples for garters from textile materials can be found in extant garters from London. Not only the famous fringy type, but also some others made of narrow ribbons of wool or silk and even made from stripes of fabric.
They are pretty self-explaining, a tabby woven ribbon from cochenille-died wool. The colour could also be reached in unsaturated redwood-die.