Green’s Dictionary of Slang

counting-house n.²

the human face.

1904		Sydney Sportsman (Surry Hills, NSW) 13 Jan. 6/4: The razorback conk that he Senor wears on the front of his counting-house.
a.1909		press cutting in J. Ware Passing Eng. of the Victorian Era 94/2: We get into the shop and see a really fine-looking dona smiling all over her counting-house.