The state, condition, or relationship of being a daughter.
From 'daughter' plus '-ship' (a suffix denoting condition, rank, or relationship, as in 'friendship' and 'membership'). This formation parallels terms like 'sonship' and reflects formal medieval English ways of describing family relations.
The '-ship' suffix is fascinating because it originally meant 'shape' or 'form' in Old English, then evolved to mean the 'condition of having that form'—so 'friendship' literally meant 'the condition of being friends,' a beautiful metaphorical shift.
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