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]
(..) me round again to find ♪ ♪ I'm not the man they think I am at home ♪ ♪ oh, no, no, no ♪ ♪ I'm a rocket man ♪ ♪ rocket man burning out his fuse up here alone ♪ ♪ rocket man ♪ ♪ and I think it's gonna be a long, long time ♪ ♪ till touchdown brings (..)2014 TvShow: Californication Title: Grace Season: 7 Episode 12
(..) me round again to find ♪ ♪ I'm not the man they think I am at home ♪ ♪ oh, no, no, no ♪ ♪ I'm a rocket man ♪ ♪ rocket man burning out his fuse up here alone ♪ ♪ ♪ Mars ain't the kind of place to raise your kids ♪ ♪ (..)2014 TvShow: Californication Title: Grace Season: 7 Episode 12