This is a fallow deer Plains style quiver I made for a memorial set a few of us on Primitive Archer put together for this young man. His name is Patrick Brennan, same as mine and I met he and his Dad, Tom at a local trad shoot when Patrick was a pouty 9 year old. A few years ago Tom was stricken with a brain tumor from which he finally succumbed.
Here is a pic of Patrick with the fallow deer quiver...
...and the archery set we put together for Patrick...
To answer your question, Tajue, hair out and if you want a fur trim put it around the mouth of the quiver to help keep the arrows quieter.