Neither person has such an address in the sense that they have the private keys used to spend any funds sent to the address.

It's trivial to create any address (except for the last few characters and the first). It's trivial to send funds to such an address (poorly programmed wallets sometimes do so). It's not trivial to create a private key with an arbitrary address (hence vanitygen, which can "choose" a few characters in an address along with a private key, but not these addresses).