'vaguely-supplied' originates from the combination of 'vague' and 'supply', where 'vague' meant 'not clearly expressed' and 'supply' meant 'to provide'.

'vague' changed from the Old French word 'vague' and 'supply' from the Latin word 'supplere', eventually forming the modern English term 'vaguely-supplied'.

Initially, 'vague' meant 'wandering' and 'supply' meant 'to fill up', but over time they evolved into their current meanings of 'not clear' and 'to provide', respectively.