Superlative form of droll; the most amusing, whimsical, or oddly funny; most amusing in a quaint way.
From 'droll' (adjective) with the superlative suffix '-est,' standard English morphology. The base word droll comes from French 'drôle' meaning 'funny' or 'strange.'
The superlative 'drollest' was favorite Victorian slang—saying something was 'the drollest thing' meant it was unexpectedly, delightfully, and sophisticatedly funny.
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