Pokemon transferring

Question

If you transfer your Pokemon from one game to another, like let's say from Soul Silver to Black 2, will the Pokemon that were transferred be yours in the Black 2 game or the other games Pokemon? I'm asking this because I have a different name in my Soul Silver game than in my Black 2 game.

Answer 1

No. Pokemon "ownership" is based on both the trainer's name and the original trainer ID which is a random 5-digit number (assigned when you start your game). Both values can be seen in a Pokemon's summary screen.

So even with the same name, the chance of having the same ID Number is extremely small.

Answer 2

As I recall, having transferred all of my Pokémon from Gen IV games into Black, they're under the name of your character in Black. I'll confirm this when I'm not in work.

EDIT: Checked while in work ("Code compiling."). I was mistaken: I used the same Trainer Name in Gen IV, but the Trainer ID was different. So, it retains those, but converts the Pokémon. So, @DisgruntledGoat got it right.