Hi There and welcome to Chevy Chatter II!
You have found your car's serial number! The serial number that you were looking for is on the plate on the passenger side of the car next to the battery opening. The number 2FA086968 is the car's serial number, it is not the Fisher Body Number. Your Fisher Body Number is the body number of T 23527 that is on the firewall plate.
2 = Tarrytown, New York factory
FA = 1936 Master
08 = Car was manufactured in August of 1936 (late production)
6968 = Number of the run in that factory. However, you might have missed a digit in the serial number because for the number of the run it is way under the body number that you posted. For example, your body number of T 23527 indicates that your car was the 23,527th Sport Sedan made in the Tarrytown factory in 1936, however, your car serial number of 6968 indicates that your car was the 5,968th (serial numbers started at 1001) car made in the total production run of the Tarrytown factory in 1936. So, it appears that your serial number needs another digit...probably at the end of the number, which would make your car the 59,68?th car made in the Tarrytown factory in 1936.
