In a possibly related vein, Barbara Stanwyck was widely reputed to be a lesbian. Her marriage to Robert Taylor was a studio put-up job which he eventually got tired of and left her. She was never known to date again after that.
Not saying any of this is true, but that is the gossip.
As Tony Curtis once said, "Stand on the corner of Hollywood and Vine long enough and someone will walk up and say 'Bubba Ho-Tep is a fag'."
She had a fling with Elvis!
All the evidence points to another adulterous affair of Natalie’s with Walken on the set of ‘Brainstorm’. The castmembers in the books I’ve read show clear evidence of it and Walken was invited on the boat to try to bring down suspicion on Wagner’s part, but it turned into a night of drinking and Wagner confronting Walken on the boat and Natalie being in the middle and trying to run away from it. The homosexual encounter is rather far-fetched considering what was going on.