George Agassiz was allowed to sign LONGINES pocket watches with his name, cause the high quality watches were produced in his office, before the big plant at "Les Longines" was bought from Ernest Francillon (Auguste and his son Georges Agassiz had invested to this time approx.100.000,- Swiss Francs into the company). After 2nd January of 1874 Ernest Francillon gave the order to sign all Longines watches with the typical symbol of the sandclock with wings.
My estimation is that these doubled signed watches "Geo Agassiz" and "Longines" came out of the time, when the plant/building at "Les Longines" was ready to produce but no really symbol for their watches was found (or they wasn´t sure how to sign their watches). So the time period with doubled signatures might be between 1862-1874. My best regards Tony