Name: Toni Denver Metro (Zone 5a) Whiskey Tango Foxtrot.
Spider mites, perhaps. They always made webbycrap on my mom's spiderplants. But, if it's outside, see if it's spiders. If it's spiders, leave 'em alone as they'll eat bad buggies! I think it's too early for caterpillars to be cocooning.
