The Broadway production closed to prepare for a live telecast of the production. The production would, however, likely have closed fairly soon as it was not doing especially well at the box office, surprising as that may seem. Perhaps it came too soon after the 1950 Broadway production of the original play, with Jean Arthur in the title role, and Boris Karloff as Mr. Darling and Captain Hook, and with incidental music and songs by Leonard Bernstein.
There were plans to bring the show back to Broadway for 3-4 weeks during the 1955 Christmas season. According to press reports, the return engagement never happened as it was decided that it would be too expensive for the production to recoup during the limited run, even if it sold out.
Ovrtur is a database covering musical theatre from Broadway, London and beyond.