Multi-Monitor Question

I think there may not be a way around this unless I run a separate "DISPLAY" for each monitor....but here goes. I'm running KDE in F20 with 2 monitors. Chrome or Firefox will open a new window when viewing a baseball game on mlb.com (for example). I move that window to my "second" screen and place it in "full screen" mode. All is well and good until I move my mouse back to my "primary" screen and a window there take focus. At that point the window on my "second" screen exits full screen. Anyway to keep that from happening? -- Getting tired of non-Fedora discussions and self-serving posts