Hi Ground Birdie.
Are the ear bones parented to the head bone?
If the ears are painted, and parented to the head, then the head bone will move the entire mesh indirectly through parenting.
This is what we want because you don’t want your ears to stay in place when the head turns.
If you are moving the ears but the don’t follow along 100%, you probably have the ears weighted to both the head and the ears. (make sure you normalize the weights so they show you the true value)
I hope this helps. Let me know if you’re still stuck. And perhaps post a picture or a video of the issue.