It sounds like your chick either got into its water bowl and either drowned or got wet and became chilled. the other possibility is that it aspirate water into its air sacks, resulting in pneumonia. Either one is quickly deadly to baby chicks.
You mentioned the chick being wet. Was only the head and neck wet or was the whole chick wet?
This would get me to wondering if a snake had constricted the chick and finding it too large to swallow had spit it back up.
Telling us where you are posting from may help someone figure out what went wrong. Good Luck.