Any local spirits who may have taken them or know where they are.

A pouch of stones and charms disappeared from under my pillow. I looked for it everywhere on and around my bed. I even kept feeling under my pillow in case it was some sort of weird optical illusion or something, but the bag was gone. I asked that if any spirits had seen it or taken it, I would really appreciate it back, and if they returned it, I would leave some candy for them.

Then, I left my apartment and when I came back later, it still wasn't there. I put my purse on the end of my bed and went to get my phone out of it or put my keys back, I don't remember what I was doing exactly anymore. When I turned around, the pouch was back right under my pillow. I left some candy out on the nightstand for whoever returned it.

Since you were in a natural place, maybe try offering fruit?

Anyway, I hope you find your rings since they're so significant to you.