Okay so,, I just downed one. I thought I was on a high enough ledge so that it couldn't reach me. Surprise! She disappears for a moment and then pops up in my face, talk about jumpscare of a lifetime. She knocked me off into a hole and I shot tranqs into her face until she almost had me dead but she ran off and passed out on a very hard to access part of a cliffside. I've gotten stuck there twice. My advice: find a hole you can get in and out of easily. Shoot tranqs into their eyes until they run off. Suckers are fast, so you're going to have to pursue them.
Not too difficult to tame, just time consuming, but one of the best harvesters for wood and Fibre - level power harvesting for an end to your wood problems, or delicate for an end to your Fibre ones. Tame a low level flyer e.g. ptera (hint: bola). Make a 2x2x2 or 2x3x2 stone trap using foundations and door frames and on one side of trap put stone stairs and switch to ramp. Fly around it to lure it toward trap (ramp). Once in trap just shoot with tranq arrows and bow or crossbow (just bring some resource to repair if bow breaks or use nearby). Then just need crops or mejoberries AND like 9-12 stacks narcoberries even for 150 lvl, this should work (hint: useful to bring a parasaur or trike to help harvest and store berries you'll need to top up while taming). After the grind you have a monster chicken at your command.