Making the mouse move and clicking is a nice interpretation of the one button requirement, turning it into a point and click. It also was interesting how you started off with logging onto the computer rather then going straight into the clicking the button for photos of mums. The 'website' that delivered the pictures felt like a worse version of those 'hot single women near you ads' which I personally enjoyed and is what I assume you were going for.
Only downside was that it took multiple tries to close the internet tab after installing the app to get the mum photos, as well as the envelopes all getting crowded at the bottom, which I wouldn't mind as much if the photos were fully taken out of the envelopes so that I could see the entire picture before it was covered up.