10 plant species z seeds will tame any featherlight. So wait near a plant till you have that supply. I’ve only ever seen them in the red zone. I like to go down there on a rock drake without a light pet on my shoulder, because then you can have it ride on your shoulder on the way out. Having a tamed featherlight following you out is dangerous to the tame. Clear any hostiles away from the tame area and you should have no problems.
If you want one of these, be prepared. They exist in areas around the Spine and beyond. There are Seekers, there are Nameless. If these don’t get you, then the Reaper Queen will surely get you. Not recommended for solo players who aren’t prepared for the worst. Bring your best and be prepared for anything. Zip lines, charge lanterns and batteries, light Dinos, guns. You name it, and it’s recommended to bring.
Just don’t bring your battle Bulbdog. I still mourn the loss of Pugbert. RIP