Green’s Dictionary of Slang

1. (US) a car.

1932		J. Dixon Free To Love 144: May Dan sit in the rumble with me?
1937		J.M. Cain Serenade (1985) 64: I lifted eggs and about fifteen other things from the rumble.

2. the back seat.

[1838		R.S. Surtees Jorrocks Jaunts (1874) 118: A servant may travel in the rumble and pay for greasing the wheels all the same].
1943		R.L. Bellem ‘Dead Man’s Guilt’ Dan Turner – Hollywood Detective May 🌐 I lifted the deck of my jalopy’s rumble, showed him the taxi driver’s remainders.