(I keep saying "major" because that same year, 1959, Bart had written a very small musical, Fings Ain't Wot They Used to Be, that opened about two months before Lock Up Your Daughters. But I'm pretty certain it didn't play on the West End, and was the equivalent of our off-Broadway. If not very off-Broadway...)
A movie of Lock Up Your Daughters was actually made in 1969, and had a very good cast, including Christopher Plummer, Susannah York -- who'd been in Tom Jones -- Glynnis Johns (the mother in Mary Poppins and star of A Little Night Music) and Jim Dale. Oddly, though, the cut out all the songs! Whether any of the music is used as background scoring, I don't know. This isn't the first time that's happened. When Billy Wilder made the film, Irma la Douce, based on the Broadway musical, that was done without the songs, as well. I'm sure there are other cases.
Anyway, I'll post a couple of the songs from Lock Up Your Daughters -- not just because it's a fun score that few people in the U.S. have ever heard, but also for the sheer history aspect of Lionel Bart's first stagework. But the begin with, I figure it's best to start with the title song. As I noted, it's filled with lively and clever rhymes, but one of my all-time favorites comes at the 1:00-minute mark. And as you'll note, this is an auspicious lyrical start for Mr. Bart and boded well for what was about to come.