After I post, I did thought some of things of my solution was to :
Number One : Copy and paste the same layer as County . Put the Second under the first layer.
Then go to Labeling and create new Defintion that you want the labels to set "is not equal to".
Fix the Labeling Placement you like
Number Two : For the second County layer and put under the First County layer. You can then have the layer symbol set to not visible since you already have one .
Then go to Labeling and create new Defintion that you want the labels to set " is equal to".
Fix the Labeling Placement you like
Also, in the Labeling Section , You can add if you want is to (FieldName) & " " & "County".
Yes a lot of work to put up but worth a try if you need to for a small area or a large area.
Screenshot here :