The BBC had a television program that first aired in 1978 called "Between the Wars." It looks more educational but maybe it used this as a themesong?

In 1973 London Weekend Television also ran a series of TV shows called "Between the Wars." That one looks like they just adapted books to the TV screen, but maybe the same case of using it as a theme?

BBC online has a pretty decent looking search tool called the BBC Genome but it's not clear to me whether it covers all their stations or not, and the level of detail for some entries can vary, but you can try looking there