Opportunity to stay in Poland beyond 90 day Schengen period?

Best source of that type info is the Embassy/Consulate of Poland

https://embassy-finder.com/poland_in_usa

Depending where you live you should contact the nearest Consulate General of Poland in the United States.
We have one in Chicago but if you Google that you should find one closer to you.

https://chicago.msz.gov.pl/en/consulate/contact/contact

This is the 4th post by OP since 2014 on the subject of 'how to stay more than 90 days'

ALL have suggested she contact the relevant embassy of where she was wanting to go.

Re-phrasing the question does not change the answer..

And the OP never comes back to discuss the results - but the results are the same each time.

Thanks everyone. So far haven't gotten through by phone to a person at embassy but the government literature all says 90 days for US citizen. No mention of exception.