Welcome. I agree with Jason on longear, and the shiner looks more like a silver to me than it does emerald. The lack of detached scales on your hand also suggests that your fish is not an emerald. That being said, I am not very good with shiner ID's and there appears to be 9 Notropis possible in the Barren watershed. http://fishmap.org/watershed/05110002.html (Maybe there are only 8, as rosyface are listed as well as highland shiner. Highland were fairly recently split from rosyface, so I assume that all Barren river rosyface are now considered highland shiner. JASON?) Bottom line, I believe you have a silver shiner, but for an accurate life list, that may not be enough for you. I would suggest a photo of the top of the head to be certain.
In the future, I would suggest you get a photo tank. There are several options for this, but I like to suggest https://www.tenkarabum.com/3x5-photo-tank.html You may already be familiar with this site, I see your "Kebari" type fly.
Another good reference for Kentucky is "The Fishes of Tennessee" This link should work to download the online version. https://www.research...es_of_Tennessee
http://forum.nanfa.org/index.php/topic/18006-nanfacon2020-columbia-south-carolina/#entry152935 The 2020 convention would be a fantastic event for you and your son to attend. It's earlier in the year than most have been (to try to catch fish in prime spawning color), so it may not coincide with your son's spring break, but if you can swing it, GO. The educational aspects justify missing a couple days of school in my opinion.
Good luck on the new adventure!