I am making a group of buttons that when each one is highlighted it displays a
graphic on the other side of the screen
So after I 2* click on my button and insert frame into the over state I place
my picture here but when I run it the picture comes up if I run my mouse over
on the other side of the screen where the image is be comming up as well as
comming up when I am over the button.
How do I solve this problem I only want these images to show when I have mouse
over my button and I dont want anything to show if I have my mouse over
anything else on the screen?

You need to put something in the Hit State of the button. It typically takes
the last keyframe in the timeline to use, which, in your case, includes the
image. You should put a blank keyframe in the Hit State, and copy the Up
State's contents to it. Then the over state will only be triggered when the
user rolls over the Up state graphics.