I found a bunch of other tracks floating around like this on Sound Cloud under account "Agnes & Ethel Productions" that appear to feature Mairead Carlin.
Here's one of them:
19. Trafalgar Square
https://soundcloud.com/agnesandethel/19-trafalgar-squareFrom Mairead Carlin's original post about this last year and from various of these tracks floating around on SoundCloud, it seems like these are songs written by Jamie Reid (lyrics) and Nick Lloyd Webber (composer).
They appear to be from a musical called "Diamond" but so far, I haven't been able to find a reference for this actual musical beyond SoundCloud.
Maybe this was just a demo.
I'm unsure if these are actually available to purchase anywhere.