I dug up a voice note recorder (shareware) that seems to work decently with the built in microphone. This let me re-record the lullaby, and the Teddy song, the Theodore song, the ..loves Teddy song (that is a tune I did rip off), and my version of Old MacDonald (which involves no animals, only fruits, veg, and so forth, and Old MacDonald is either a named person, or Old MacDonald and She, and has a spoken bridge between verses).
Having done this rather impulsively, I realized this was in the back of my head as something I should do and do soon for quite a while. I'm quite pleased it happened. Better still, because the world is almost a reasonable place, the voice notes can be exported to any location on the hard drive, quick time can import them and _so can iTunes_. So I can use this puppy to develop a playlist of my own lullabies. Heh. R. is convinced that Teddy will not go for this, but will at least require me to sing along. We'll see. I'm betting Teddy will at least find it really freaking weird to hear my voice coming out of the speakers. Should be fun.