In a cheerful or encouraging manner; with good cheer or a welcoming spirit (archaic or dialectal).
From 'cheer' or 'chere' plus the adverbial suffix '-ly'. Emerged in Middle English as a way to describe cheerful behavior or demeanor in greeting and social contexts.
Medieval people apparently said 'cherely' where we'd now say 'cheerfully'—showing how adverbs constantly shift as their root words evolve or disappear from everyday use!
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