I was trying to get a tamed one to go across a river, and he was going sooo slow. That was until a piranha bit his behind and he ran at the speed of light to me.
Put your own taming pen on a platform saddle that you put on your Paracer, then put your tamed flying Dino on him and you have a moving bird taming pen
I once went along and I accidentally shot this with a rifle instead of the sarco and than my phone died. When I came back I was safe, also happened with a stego, except the stego killed my tame before my device died. Now my tame is safe