She was 'burning for' a chance to prove herself. [=she wanted very much to get a chance to prove herself]
('humorous') “We were talking about you last night.” “That explains why I 'felt my ears burning'.”
She was 'burning with' anger at his rudeness. [=she was very angry because of his rudeness]
(..) Dialogue: Marked=..,Default,NTP,!Effect,Speak for yourself.\NAll right there, Harry? Dialogue: Marked=..,Default,NTP,!Effect,-My scar. lt keeps burning.\N-lt's happened before. Dialogue: Marked=..,Default,NTP,!Effect,-Not like this.\N-Perhaps you should see the nurse. (..)2001 Harry Potter and the Sorcerer's Stone