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]
(..) What're you doing down here? I think I've been sleepwalking again. What do you mean "again"? - (MOANS) - You all right? You're burning up. Come on. Come on, let's get you back upstairs, eh? Think you better stay home from school tomorrow. Come on. Let's get you back into bed, eh? (RAIN PATTERING) (..)2016 The Conjuring 2
(..) and brush your teeth! (SIGHS) All right. - (BLOWING RASPBERRIES) - (SIRENS WAILING) Sounds like the whole city's burning down in here. Look what I found! - Biscuits! - (CHUCKLES) (STAMMERS) But you said we don't have any money. (..)2016 The Conjuring 2