I have received a birth and a marriage certificate >from Poland, both
of which appear to be written in (Old?) Cyrillic.

Is there a kindly person who can read through them and extract the
personal information (names, dates and places)?

They're online at:
http://www.tresman.co.uk/tree/images/warszawski.htm

Best regards,
Ian Tresman
http://www.tresman.co.uk/tree/

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