[Farmerbob]

Ash nazg durbatulûk, ash nazg gimbatul, ash nazg thrakatulûk agh burzum-ishi krimpatul

One Ring to rule them all, one ring to find them, one ring to bring them all and in the darkness bind them

[MikelTackNailer]

"Ash nazg durbatulûk, ash nazg gimbatul, ash nazg thrakatulûk agh burzum-ishi krimpatul"

("One Ring to rule them all, one ring to find them, one ring to bring them all and in the darkness bind them")
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So that's what the inscription means on the wife's wedding ring. That sure explains a lot. Thanks!