Two other of the film stars works, one on Broadway and one on film, were also turned into musicals. One more successful than the other. The Broadway play was made into a film musical which was then made into Broadway musical. By its 3 incarnation it didn't fare very well. This film star herself starred in an original Broadway musical.
OK, I keep thinking that Katherine Hepburn and "The Philadelphia Story"-turned-"High Society" are parts of the answer, but I can't make it all fit. Am I barkin' up the wrong tree, Dog?
"Do you know ChrisLovesShows?" "Yes. Why, yes he does!"
Thanks to the help of ChrisLovesShows i think i can fill in the blanks:
The team- Arthur Kopit and Cole Porter (What a cool team!) The musical- High Society The play- The Philadelphia Story The future film great- Katherine Hepburn
Chris and Mattio, well you're both correct in catching the clues but didn't get the original puzzler. I believe the clues could have sent you down the wrong path, inadvertently.
The Team: Rodgers & Hart The musical: BY JUPITER (opened 6/3/42) The play: THE WARRIOR's HUSBAND (1932) The future film star: Katherine Hepburn
As for the clues: The film of Kate's that was turned into an original musical was of course WOMAN OF THE YEAR. The non-musical play was, you guessed correctly, THE PHILADELPHIA STORY...which gave birth to HIGH SOCIETY. THE WARRIOR's HUSBAND predates PHILADELPHIA and was about the time of KATE's first film, BILL OF DIVORCEMENT. By the time of Rodgers & Hart's BY JUPITER, she was indeed Kate the Great.