Concept: Elves in Lórien organize themselves into groups of people who do similar work. In more primitive times, each group would meet in a different nearby clearing, or glade, in the forest. So the term "glade" came to also mean "a group of people doing much the same thing". There might be a Weaver's Glade, a Glade of Smiths, etc.
Platoon-sized military units scattered around the forest borders would each have a home base and need a clearing to train in, so they also adopted the term.
This is such an old practice that a Nandorin term would have been used and likely would survive the influx of Sindarin.
Make sense?
The best term I've seen so far is "lant.", Sindarin for a clearing in a forest. Plural is laint. Collective plural is lannath.
Any better ideas?