Having been to 39th and Norton more times than I care to remember, may I direct you here:
3/24/05 UPDATED POST INCORPORATING COMMENTS
Larry notes: Hi. Despite what you read everywhere, Elizabeth Short wasn't found at 39th and Norton Avenue. She was found between 39th and Coliseum, about roughly the midpoint of the block.
To which Nathan replies: Larry is correct. Here's a shot looking north on Norton, with Coliseum in the distance. I would posit that the action is a bit closer to 39th than halfway up the block, but if so, not by much--Norton is a long block here. One source has her at "54 feet north of the fire hydrant at mid-block" so there you go.
While off-topic for LA47, I still have to ask this, as I'm sure one of you out there knows... Short was bagged in Santa Barbara in '43 (whence came that famous photo, and her post-murder ID) for underage drinking, and what I want to know is, where was she popped?