Splitting sections of a large file into individual Musescore files

I'm using the Album feature to join related but previously separate Musescore files into one large one so I can easily edit it. But is there a way to subsequently split the large file into individual Musescore files based on section break? For example, if the first file had four sections, the function would create four new Musescore files.

The only way I found that approximates this is selection the section through the Edit menu and then saving the selection. But I lose my horizontal frame with the title in the process.

Thanks.