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simulacrum-noun   [sim-yuh-ley-kruhm]
1. a slight, unreal, or superficial likeness or semblance.
2. an effigy, image, or representation: a simulacrum of Aphrodite.

http://dictionary.reference.com/browse/simulacrum

Though they had a faint simulacrum, she couldn't see why everyone insisted that they "must be related."