Check to see if there is an adjustment on the brake actuating rod that activates the master cylinder. It is possible that you have too much play (or clearance) in the rod before it begins moving the piston in the master cylinder. Some cars have an adjusting nut on the end of that rod where it enters the master cylinder. Some may be adjusted differently. You do need a slight amount of play, to ensure that the piston moves enough to allow the brake fluid to return to the master cylinder after you let off the pedal. I've run across this several times in '30s-model cars. A classic symptom of too little play is if the brakes fail to release fully after being applied.
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James Bartlett
jamesandeileen@comcast.net
19 Locomobile Sportif
29 Packard Super 8 roadster
35 Auburn S/C convertible
38 Chrysler convertible coupe
64 Lincoln convertible
66 Buick Riviera Gran Sport