Green’s Dictionary of Slang

rumble-tumble n.

a stage-coach.

1788		Bath Chron. 26 June 2/1: The coachman [...] found some loose guineas in the bottom of the rumble-tumble .
1812		Vaux Vocab. of the Flash Lang.
1821		‘An Amateur’ Real Life in London I 449: Frank Harry swore by the Bacchanalian divinity they might ride in the rumble-tumble if they liked, but none of it for him.
1833		H. Smith Gale Middleton 1 161: ‘I hope he can get the chovey up Dunghill-lane.’ ‘Vhy, you flat, it’s broad enough for a rumble-tumble’.
1858		Lytton What Will He Do With It (1875) I 60: From the dusty height of a rumble-tumble [...] Vance caught sight of Lionel and Sophy .