My first ever Tamagotchi was a P1, and since there was no naming option, I never really named it. I just called it 'my Tamagotchi'. When the V1 came out years later, I got a pink one and called her Pochi (can't remember where the name came from, but it was in reference to a cartoon or something).
She was a Tarakotchi, and I loved her so much!