Green’s Dictionary of Slang

(orig. US) be quiet, shut up.

1885		Puck (N.Y.) 22 Apr. 115: Bottle that and listen to me [HDAS].
1908		C. Rook London Side-Lights 130: Go home and bottle it!
1926		Van Vechten Nigger Heaven 8: Anatole exposed his pearls. Bottle et, he suggested. [Ibid.] 51: Bottle it, Howard, Olive cried.
1930		J. Lait Put on the Spot 24: ‘Aw, bottle it,’ he urged.
1936		H. Corey Farewell, Mr Gangster! 277: Bottle it – keep quiet.
1996		J. Cameron It Was An Accident 192: Others bottled it, like used the tact.