On the Eowyn deserter thing...I never even considered that she might be seen as such on reading it initially thirty-odd years ago. Now I can certainly see that from the perspective of those who she should have been taking care of though. After all, as a member of the house of Eorl, she had a job to do even though it wasn't one that she would rather have had another job. Royals simply don't get to chose! I'm quite a bit harder on her as an adult than I was as a teenager. She acted in a selfish, immature way, and if I were her parent, I'd have some seriously harsh words for her.

We also don't really SEE any of the Rohirrim other than Eomer after the battle on the Pelennor (other than the description of Theoden's funeral). So speculation about what they actually thought about Eowyn is just that. I guess we are free to project whatever we want upon them since there simply isn't canon in this space. Great! More wiggle-room for fanfic writers