I don't know enough about Mormons or the culture of Utah to answer the first question fully, but "random" words probably will remain popular for the next 10-20 years, then they will look dated and strange. I like Simmer but have never heard it being used before.
I think
Dream,
Love,
Chastity, Purity,
Love,
Happy,
Lucky,
Treasure, Rebel, Pilot, Doctor and things like that might be too specific to "suit" just any child.
I think that color names, seasonal names, month names and nature names are generally okay, though. Specifically, I like:
Winter,
Summer,
Autumn,
April,
June,
Lily,
Tiger,
Tigerlily,
Forest,
Jade,
Amber,
Sky, Cloud,
Sunny,
Zephyr, and many others.
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