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She was the eldest daughter and first child of Prince Aleksandr Danilovich Menshikov and Daria Mikhailovna Arsenieva.
Thanks to her father's influence in the Russian court, she was engaged to Grand Duke Peter of Russia, a grandson of Peter the Great. Though they never married their engagement was announced and a dowry discussed. This proposal brought about the disgrace of her father who was subsequently exiled to Siberia.
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