Another Civil War Soldier?

Jesse P. Cox is buried in Old Union along with his wife Sarah Elizabeth. I have been emailing with a descendant of his, Tom Cox. We believe he is the same Jesse Cox who was in the 8th Kentucky Cavalry(Union). In the 1860 Census, Jesse is 17 years old and living with his family in Casey County. His mother Elizabeth is head of household. We will try to locate his records and check for a pension application as well.