It sounds like these are container fields and you want to copy the image stored in the container to your new layout.
You need a field defined in your layout's table of type Container.
The "picture box" sounds like a field object and you've pasted it on your new layout. Double click it and select the field you just defined.
Now, in browse mode, click on the container field in the original layout and choose Edit | Copy.
Switch to your new layout, click on the container field you have pasted and choose Edit | Paste.