Is it possible to get access to flight logs of USAAC trainer planes from the 1930s?
For serial number 31-35
 - Pilot seems to be Brookley, Wendell H 
 - Homebase seems to have been Wright Field, Dayton, OH 

See Link

For serial number 31-85
 - Pilot seems to be Larkin, James D.
 - Homebase seems to have been Boeing Field, Seattle, WA

See Link

It seems that you can order any of these Reports.