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]
(..) Okay, okay I just have to take a step back. Wait a minute. Titan. What's a Titan? My super ears are burning. I usually just hear criminals. You haven't been naughty, have you? I'm totally messing with you. I'm totally messing with you. The names Titan. (..)2010 Megamind
(..) Well, he doesn't look quite the hero type to me. Oh, you're such a pill, Minion. The power couldn't ask for a finer claim. I smell hero. I smell something burning. I think it's working! Places, places... You have your disguise? What? Ah, you look fantastic. (..)2010 Megamind