When I first got Yellow (which was my first Pokémon game), I named the character Ash (seeing as Yellow was designed to follow the show's storyline). However, when I later got Blue, I named the character after myself (seeing as you could choose between the standard starters: Bulbasaur; Charmander; and Squirtle, on most of the save-files I've ever done on it, I almost always chose Bulbasaur.)