The photo of the club was printed in the newspaper at one point (sorry, don't know when), but a clean copy can be obtained from the Union Pacific Museum. (I'm not sure I can post it for copyright reasons, so I'm not going to.) With a little bit of digging, I've gotten full names for all of them. Judging from the names, the photo was probably taken late in 1884, as Visner didn't join the club until much later in the season.
I'm not entirely sure the caption in the paper has it right. The five standing in the back are Jerry Cavanaugh, Charles Taylor, Charles Whitney (brother of Jim Whitney -
https://www.baseball-reference.com/p...hitnji01.shtml), Lee Funkhouser, and Bill Rockwell.
The middle row (two seated in the center) are
Russ McKelvey and
Joe Visner.
The front row (starting with the player whom Cavanaugh has a hand on the sholder) is Dick Dwyer,
Harry Salisbury, Frank Bandle (directly behind the dog),
Joe Walsh, and
John Sneed.
This is the way the original has it on the caption.
Major Leaguers are in bold. Rockwell, Bandle and Dwyer have minor league records on Baseball-Reference. Lee Funkhouser was involved in organizing the Omaha club later in the 1880s.