First published as a serialization in Cosmopolitan:
February 1924, v. 76 no. 2, Part 1 of 3
March 1924, v. v. 76 no. 3, Part 2 of 3
April 1924, v. 76 no. 4, Part 3 of 3
Dalla, The Lion Cub -- (Hearst's International Cosmopolitan Magazine, Feb-Apr 1924) was copyrighted 10 January 1924
Nash's and Pall Mall Magazine may have also serialized this story in July 1924.
First published in book-form by Putnam in New York, likely in May or June 1924.
I own a Putnam first edition with original DJ, and also own the Photoplay edition published by Grosset & Dunlap.
Hutchinson published its edition, under the title PERILOUS WOMEN, in London, with ads at the rear marked "Autumn, 1924."
The Hutchinson edition contains two novels: PERILOUS WOMEN (titled THE GARDEN OF PERIL in the USA) followed by DALLA THE LION-CUB.