klakak: I don't think so. You would have dual citizenship, American and Polish.
http://www.richw.org/dualcit/faq.html#noway
Rules against dual citizenship still apply to some extent -- at least in theory -- to people who wish to become US citizens via naturalization. The Supreme Court chose to leave in place the requirement that new citizens must renounce their old citizenship during US naturalization. However, in practice, the State Department is no longer doing anything in the vast majority of situations where a new citizen's "old country" refuses to recognize the US renunciation and continues to consider the person's original citizenship to be in effect. Nuff said. However, it's likely that it was never recognised by Poland, unless she was actually stripped of citizenship by the PRL - and even then, it would seem unlikely that it would be recognised by the present Polish state unless it fell under one of the various acts - which it wouldn't, as she left in the 80's.
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