Complex sentence: After questioning Easy Jenny (Joan Blondell), a madam Martha Lou is traveling with, Heath sees through Martha Lou's lies, but decides that he is going to marry her eventually and does his best to keep her out of mischief.
Split into simpler sentences: After questioning Easy Jenny, a madam Martha Lou is traveling with, Heath sees through Martha Lou's ruse. But he decides that he is going to marry her eventually, so Heath does his best to keep her out of mischief.