JIMNLIN wrote:
 Sure.... but keep in mind the one tire has a different tread pattern and can have different traction during hard braking events especially on wet pavement.
 I would find the reason why just one tire had the flat spot. Chancer are it will flat spot again.
 Generally flat spotting occurs on a tire on the front axle from braking rotational forces of the rear axle through the equalizer bar which tends to lift the front axle a bit.
Yep, it is the front right axle. I would guess the front left one didn't lift because the fridge, pantry and everything heavy is on the left side of the trailer including 3 slides.  I'm sure the adjustments were the same for all of the brakes as far as the ability of the tire to turn approx 1 rotation when adjusted. 
The trailer is 4 wheel drum brakes. When the incident occurred, only light bakes were being applied via the brake pedal on damp pavement. The brake controller was adjusted for a wet road.  Are there any other ideas on why this would have happened then on just one wheel?  Thanks for everyone's responses so far.  I would like to keep this from happening again:-)