'vaguely-given' originates from the combination of 'vaguely' and 'given', where 'vaguely' comes from the Latin 'vagus' meaning 'wandering' and 'given' from Old English 'giefan' meaning 'to bestow'.

'vaguely' evolved from the Latin 'vagus' through Old French 'vague', and 'given' from Old English 'giefan', eventually forming the modern English term 'vaguely-given'.

Initially, 'vaguely' meant 'wandering or uncertain', and 'given' meant 'bestowed'. Together, they evolved to describe something presented in an unclear manner.