Delighted to hear my optimism proved correct in this case. Are you keeping track of how many days she has been gone and do you have a rooster that would mean there is a likelihood of her being successful? 
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Delighted to hear my optimism proved correct in this case. Are you keeping track of how many days she has been gone and do you have a rooster that would mean there is a likelihood of her being successful? 
No rooster. Not allowed in the neighborhood

Yep.One can hope.
Unfortunately, No.Can you set up a wildlife camera or a video camera? You might catch which area she comes out of, and at least be able to narrow your search.
Fox, most likely. Where was she?One of my hens vanished. No signs of attack( feathers, etc.). I've checked all the bushes and trees. Any thoughts?