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]
(..) Get the floorboards. - Alice! - Alice, go. Her femoral artery's been severed. She's losing too much blood. No, no, my head is burning! It's the venom. You have to make a choice. You could let the change happen. No. No. (..)2008 Twilight