These don't quite fit the bill; but two Barbara Stanwyck movies come to mind:
The Mad Miss Manton, 1938
Lady of Burlesque, 1943
While not a 'professional' detective; Stanwyck gets the job done in both pictures.

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I've never seen the Odeon DVD, so I can't make a comparison. The Cinephiles' DVD runs 97 minutes...I timed it. The nightclub scene with the frenetic violin playing is included. The DVD has, by far, the best colour print of this movie I have ever seen. Unfortunately, the DVD itself has some flaws...a...

Thanks for the information, Eric. I sent my check to the society this morning.

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My DVD of 'The Man on the Eiffel Tower' comes from a horrible print. Having been filmed in Ansco Color this isn't a great surprise.
Is there a DVD of this movie made from a good print?

David