You named her "Tina". (You assigned that name to her, and that became her name.) You called her "Tina". (Same as above, or you referred to her as "Tina" whether that was her name or not. The implication is that "Tina" was a nickname.) "Herself" is not possible in those.
She named herself "Tina". (She didn't have a name before, and she took the name "Tina". A strange thing to say.)