Actually in my SUSE i had like this !!
* Add to panel
* Add application to panel ->
* Remove from panel ->
* Add new panel ->
* lock panel
* configure panel
By using remove from panel
i was able to remove a widget....
But incase fedora , you said that don't have remove option... no problem
click on add to panel
. There you can see already added widgets with a specific indication ( like symboled with star or + or - symbols )
using that remove the widget.
create new panel ( where ever you want)
add you favorite widgets to that panel!!!!
good luck !!