The following Website is The Master Roster and Regimental History of the 3rd Kentucky Volunteer Cavalry Regiment. It lists all of the members of the companies of the 3rd Calvary.
Scroll down to Company L and you will find John Pfranzman listed along with a Henry Pfranzman. John, born in 1839, had a younger brother named Henry, born in 1846. That would make Henry 15 or 16 years old in 1861. I guess It's possible the two fought together. It might be worth another $ 20.00 to the National Archives to find out:
The site below will take you to the site of the Sons of Union Veterans of the Civil War. There you can download an application form and join if you are a male descendant of John Franzman.If you decide to, let me know and I can e-mail you some of his records as Word documents that you can print and enclose with the application.