In 1929, Raymond Chandler was Vice-President of the South Basin Oil Company, part of the Dabney Oil Syndicate (how's that for a band name), and living with his wife, Pearl at 1024 S. Highland. You can also check out their listing in the city directory.
The house is in a lovely little neighborhood called Longwood Highlands, just south of Olympic. While the neighborhood was developed in the 1920s, I'm not 100% sure this house is the actual building where the Chandler's lived. The L.A. County Assessor's Office has a listing for 1026 S. Highland, the other half of the duplex, which dates to 1947, but no listing for 1024. While I think it's likely that the house was simply hacked in two in 1947, it's possible that an entirely different building was there in 1929.
Larry, any ideas?