The success of the sitcom [I Love Lucy], which ran for six years, allowed her and her husband to purchase their own studio, Desilu Productions. … Four years later, Roddenberry came to Desilu with an idea for a pilot that would grow into Star Trek. Ball bought the series, even if she didn’t quite understand it;
OMG she did, didn’t she:
https://www.startrek.com/news/how-lucille-ball-helped-star-trek-become-a-cultural-icon