'falsely-claimed' originates from the combination of 'false' and 'claim', where 'false' comes from Latin 'falsus', meaning 'deceptive', and 'claim' from Latin 'clamare', meaning 'to call out'.

'falsus' transformed into the Old French word 'fals', and eventually became the modern English word 'false'. 'Clamare' evolved into the Old French 'clamer', and eventually became the modern English word 'claim'.

Initially, 'false' meant 'deceptive or untrue', and 'claim' meant 'to call out or declare'. Over time, 'falsely-claimed' evolved to mean 'asserted without truth'.