This gift set by the British watch company Newmark includes a Pippin Spacex LEM. Bill Bulloch remembers seeing it in a Liverpool shop window when he was young, and pointed me to this example after he was outbid on eBay (thanks again, Bill!). The original watch was no longer present, but patience and luck resulted in finding the watch I have with it now. It's a Newmark watch that perfectly fits the description on the box, and with the illustration on its face I'm convinced that this is the right one for this gift set.