That is also true.

Hmmm... A random theory that might be amusing to think about. Remember Dumbledore discussing horcruxes, and that the snake (a living thing) might be one? And how dangerous it was to make one from a living entity with a mind of its own?

I wonder if Voldemort might have tried making infant Harry one. That might explain why Harry was not killed, the strange link they have, etc.

Mere speculation.