Please name this berry tree
I would much rather see a sample in person for plant identification. If you are coming to Glasgow anytime soon feel free to stop by with a 12 inch cutting so I can better confirm. From this picture my best guess at this point is possible a Black Cherry, Prunus serotina. Here is a link with a little more information: https://www.uky.edu/hort/Black-Cherry Please give us a call if you have any other questions (270) 651-3818.
Barren County CES