My first character was a Half Wood Elf Ranger.. Tav just seemed kinda "meh" so I made her Tavi instead.
For alts, I didn't want to keep using Tavi because, well Tavi is someone else, y'know? So I started with the class to come up with something thematically appropriate, like Allegra for my Human Bard ("allegro" is a musical tempo), or Briar for my Wood Elf Druid. And when I came up empty on ideas, I used a name generator to find something I liked, then tweaked the names a bit to make them my own, such as my Gith Monk, Ji'lera and my Deep Gnome Rogue Mika.