First, I could find no "Nines" with either Bud, or Buddy as a first name nor any with a middle initial "B".
There's two Nine's that might possibly be your guy.
One is: Walter B. Nine, born 1919
Other is: Charles B. Nine, born 1915
Both are from Rowlesburg, WV, about 61 miles from Mineral County, WV. Charles middle name is Buckner and I don't know what Walter's middle name is. One or both could have been nicknamed "Bud". The only military service I found for either was for Charles and he was a TEC5, U.S. Army in WWII.
In your picture, Jack Rotruck does look older than the Nine person, which I think is the case. Jack was born approximately 1882. I'm more inclined to think that of the two Nine's given, I would go with Charles B. Nine since he was born earlier and prior to WWI, and the fact that he did serve in the military during WWII. But it's your guess.
I did find a Buddy Lynn Nine from WV, but his date of birth was 1938 and if the photo was taken around the WW1 time period, obviously this would not be your guy.
Edited by aznation, 05 March 2018 - 05:27 PM.