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Respectfully, I wouldn't do things that wasy. To me, the qualification of me knowing with certainty says that if I did, I'd contact the police.
However, if I believed that you had taken my ring, I certainly wouldn't run around town and social/business/community circles alleging that you had taken the ring. There are other ways to handle it--of course, I assume that like TH/KH, I know you personally and have routine interaction with you.
I'd check out pawn shops myself. But I'd also call my friends, everyone I could think of, and say that oh my! my ring, you know the one (describe) has gone missing! I can't believe it! Oh my! Could I have accidentally left it at your house? When you were here at mine last, did you see it? Oh, I hope I didn't take it off while we were at the sink (or potting flowers or whatever). Could you put the word out? If I don't find it ASAP, I simply have to notify my insurance company with its photograph, and before I notify them, I have to file a written police report. And wouldn't it be embarrassing if it turned up, say, in someone's guest bath where I'd put lotion on and it got shoved behind the towel basket? Well, I really don't know, and as you can tell I'm upset, so have you seen it? Could you let everyone in (name of group or organization, etc.) that it's gone and I am so hoping not to file a police report.
And you would be on that calling list and I'd add that so many people are being so helpful and someone thinks that someone else saw it and remarked on it and may remember something from the last day I had it. And I know that you'll remember it because you've complimented me on it.
Because if someone in my circles took that ring, I'd work it differently than if I thought a one-timer worker had stolen. I'd look at your personality, and consider why I believed you'd taken it, and then I'd work my strategy. And I'd leave "weasel room" for you to call or show up and say "oh oh, I'm so sorry, I found it in my guest bathroom/pantry/oh I wonder if you took it off while we were making the sauce for the symphony luncheon. But here it is!"
From the get-go, I think that KH and others haven't really thought about how slammming TH constantly, in public, might work. Instead of making her sit down and boo hoo and confess to anything, I'd bet it's made her really mad and determined to keep her mouth shut. And once she got that lawyer, she has her legal backing to do that--and if she's innocent, she can't confess.
Or, flies, honey, vinegar.
But running around naming someone as the perpetrator of a crime without proof will, IMHO, only backfire on the namer. Let alone open up interesting possibilities if the accused is innocent.
The landscapers interrupted me, had to come back and fix this post.