Hi, the ribbons do not have their names, individually. These are standard printed ribbons - in fact, one guy is sitting in front holding a box-full that must represent veterans who aren't present (left-over ribbons).
I have enlarged it until the ribbons pixelize, making them unreadable. Impossible.
I believe the date is June 14 or 16, 1897 - possibly 1896. This is based on the graying beards and opinions of others who thought perhaps even into 1900... however, I am confident those first two numbers are not 19 in the year...
Also, it looks like the reunion number has two words, like twenty-fifth or twenty-sixth - even msybe twenty-seventh.
My GG grandfather John W. Campbell served in Company G; enlisted at 19 on 1 Nov. 1861, was discharged for disability in
Gallatin, TN on 13 Feb. 1864. He died in 1911.
I used to work in the printing/graphic arts industry, so I have a professional magnifier. It is the quality of the image that is inferior, but it is over 100 years old!