'falsely-reported' originates from the combination of 'false' and 'report', where 'false' meant 'not true' and 'report' meant 'to give an account of something'.

'false' and 'report' have been used in English since the Middle Ages, with 'false' deriving from the Latin 'falsus' and 'report' from the Latin 'reportare'.

Initially, 'false' meant 'deceptive' and 'report' meant 'to bring back', but over time, they evolved to mean 'not true' and 'to give an account of something', respectively.