CD burning software (Rocio or Nero I'm sure of) do allow you to make your own compilations (i.e. pick-up tracks from different sources, be it another CD or a CD track copied to hard disk) on a CD, which can be read on most of home CD players, except for a couple of very old ones.
However, the home CD players don't read MP3 (except for the most recent ones). You'll have to convert those tracks from MP3 to audio-CD format. Check if the nephew's software can do that, otherwise some
Googling might help, as usual