Dear Ms. Cindy Voiron Church,
Thank you for posting your request on History Hub!
Prior to September 27, 1906, any "court of record" (municipal, county, state, or Federal) could grant United States citizenship. Often petitioners went to the court most geographically convenient for them. As a general rule, the National Archives does not have naturalization records created in state or local courts. However, a few indexes and records have been donated to the National Archives from counties, states, and local courts. Researchers should contact the National Archives facility serving the state in which the petitioner resided to determine if records from lower courts are available. (In your case since Mr. Polley filed his naturalization records in the District Court at Cherokee County, Iowa you would want to contact the National Archives at Kansas City (RM-KC) at firstname.lastname@example.org.) In certain cases county court naturalization records maintained by the National Archives are available as microfilm publications.
Records from state and local courts are often at state archives or county historical societies.
The State Historical Society of Iowa: State Archives and Records Program has county records for Cherokee County including naturalization records from 1872- 1927 on Microfilm. You may wish to contact them to see if they hold the records you seek.
We hope this is helpful. Best of luck with your family research!
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I found that the children were born in Wisconsin, so I searched for an application there.
I found this application made in Wisconsin by Hackley Polley.