In a way that shows honor, courage, or high moral character; with dignity and excellence.
From Latin 'nobilis' meaning of high birth or famous; evolved to mean having admirable qualities; the adverb '-ly' turns it into a way of doing something.
Medieval nobles were literally called 'noble' because of their birth, not their character—but people liked the idea that high birth meant high morals, so now 'nobly' means acting with honor even if you weren't born into it.
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