Shirley Jones' 4-Way Porn Story Is Bogus -- Publisher Cutting It from Book

That was fast ... Joan Collins has successfully convinced Shirley Jones' publisher that she did NOT nearly have a 4-way orgy with Shirley and their two husbands back in the ''60s -- despite claims in Shirley's new book -- and now, the publisher has agreed to yank the story.

As we reported, Shirley's new book "Shirley Jones: A Memoir" recounts a story about a sex party that nearly went down at Joan Collins' house back in the day -- involving Joan, Shirley, Shirley's husband Jack Cassidy, and Joan's husband Tony Newley.

In the book, Shirley says she declined the orgy invitation ... but Joan says the entire story is bogus, start to finish.

Joan sent Shirley's publisher Simon & Schuster a cease and desist letter after the book was published, demanding a retraction -- and we've learned, both Shirley and the publisher caved ... agreeing to remove Joan's name from the book.

Joan's rep tells us, S&S has agreed to remove Joan's name from Shirley's e-book immediately, as well as in future reprints. As for the books already on shelves, Joan is out of luck.