Well well, that didn't take long!
Within minutes of submitting the above post David came in with an email providing the full compliment of UK Djinn registrations as well as the identity (and back story) to the airworthy Djinn in the above post .. plus his own shot of the aircraft - isn't PPRuNe great!
The seven UK Djinns were:
G-AXBX
G-AXFO
G-AXFP
G-AXFR
G-AXFS
G-AXFT
G-AXFU
The airworthy Djinn was F-BIEV and she was indeed Stateside as part of a contingent of French light aircraft which had been flown across the Atlantic aboard an Airbus 'Beluga' transporter in order to attend Oshkosh in 2003.
And here is David photo of her while there:
Sud-Ouest Djinn F-BIEV as seen at Oshkosh on 29th July 2003 (Photo: David Haines)