Here are two pictures of Chistie's earlier car, the first (painting) from the 1905 race where Christie's front wheel drive car (#11) crashed into Mr. Lancia driving a Fiat. Lancia probably copied the sliding pillar front suspension from the Christie car, using it on the Lancia Lamda in 1906.
The second picture is from a race at Hairpin Turn in 1906. This looks like the same car as in 1905, but different from the puzzle car.
In 1907 Christie became the first US-American to compete in the French Grand Prix: the V4 engine of 19,891 cc that powered his vehicle was the largest ever used in a Grand Prix race, but the car retired after four laps with "engine trouble". This is possible the puzzle car?