Hello Leo
It is very interesting that Prien and the other authors of the Jagdfliegerverbände series mention that P-47 fighters were involved in the engagement but according to the information in this thread it would appear that no aircraft of that type were lost on that day due to aerial combat. Perhaps a Thunderbolt unit was engaged but did not suffer any losses? I have read that sorting out which unit fought which unit over the Invasion Front is quite the nightmare.
http://forum.12oclockhigh.net/showthread.php?t=20302
Horrido!
Leo