When you say "author name first", do you mean surname first as in LN, FN or do you mean FN LN? i.e. do you store as "Baum, Frank" as your displayed author, or "Frank Baum"?
If you store as LN, FN and you have not set the correct author sort tweak, chances are that your author sorts are a bit of a mess. There are plenty of posts about that, you need to set the right tweak to "Copy" and then use the Manage Authors dialog to cleanup your authors.
If you store as FN LN but are not happy with what you see in the tag browser, I note there is a tweak available to let you "Use author sort in tag browser" (look in Preferences->Tweaks). It does have a warning that comes with it though and I haven't used it myself.
As I store my authors and author sorts as LN, FN I don't have to modify the tweak and AFAIK my authors are displayed perfectly fine in the tag browser. So I can't give help you further if you are a FN LN person.
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