By coincidence I was just reading up about this while the puzzle was being moved to the Solved section.
My French isn't great, but it seems that the Stemperts had two Panhards with bodywork by Barboni.
The first photo shows Raymond Stempert in 1954 with his Barboni-bodied X87 Junior which he named "Le Poisson", apparently because of the back end's tendency to waggle from side to side like the tail of a fish.
If I've got it right, the puzzle car started life as a Dyna Junior convertible, and was driven as such by Gilberte Stempert, with co-driver Alziari de Roquefort, in the Rallye des Alpes of 1953 (second photo). At some time this car was crashed, and was subsequently re-bodied by Barboni as a coupé (third photo).
Gilberte Stempert's maiden name was Condamine, and I've seen her referred to using both names, if perhaps that's the other name which came up in relation to this car?