Gold ring with emerald centerpiece and inner engraving

I found this gold ring this afternoon around 4:20pm outside the Bellagio on the Las Vegas Strip, near the water fountain area. It's a slender 18k yellow gold band with a small emerald centerpiece and a few tiny diamonds along the upper edge. The inside is engraved with 'A.F.' and there's a tiny heart next to it, plus a light scratch along the band from wear. I know this ring probably means a lot to someone, and I really hope to reunite it with its owner soon.