The September 5 1913 Toronto Daily Star contains this terse comment:
J.M. Barrie is, of course, best known as the writer of Peter Pan, which will likely remain in our culture for as long as there is one. The Adored One doesn’t appear in the list of works by year in Barrie’s Wikipedia page (which possibly proves this writer’s point).
Mark Bostridge’s The Fateful Year: England 1914 mentions this play as having been written for Mrs. Patrick Campbell (“Mrs. Pat”), an English stage actress who became emotionally (but apparently not physically) involved with George Bernard Shaw.