The odds of finding the original owner(s) is pretty slim.? Chances are the loser was on vacation, and could be from anywhere.? Marriage records would be the way to go, but you'd have to look at every county through the US, and like Diggumup said, they might have been from some other country.
I have a few inscribed wedding bands-- one I found only 2-3 months after the inscribed wedding date!? They probably lost it on their honeymoon, which is pretty sad...? but chasing down one name with a date would be a serious undertaking.? Even if you find a match, it could be coincidental, and you'd need to get a description from them to verify its really theirs.
Once I found a ring inscribed with both first names and a 1938 wedding date!? That was before I even had a metal detector, and what got me into it.? That ring was close to 60 years old, and no telling if the couple were even still alive.? Still, I called a few TV stations and asked if they would do a 'special interest' story, since they might have the resources to do a thorough search, and it would have been so neat to return the ring on their 60th anniversary.? I was so sad for them when I found it, but the stations all declined.? I am still in awe when I look at that ring with the history of the marriage and the loss, and my finding it was as close to a magical experience as I've ever had.? Here's a picture of it...