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It helps if you include approximate birth date or where they lived. This is one entry I found on familysearch.org. This Charles Cotton was born in 1880 and lived in Tennessee. His wife's name was listed as Birdie. If this isn't correct there are others listed on the same site.
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Dear Ms. McCarver,
Thank you for posting your request on History Hub!
We searched Ancestry and located a delayed birth records for a Angeline Bird Cotton, born 3 Mar 1888 in Stuart, Adair County, Iowa. Her father is listed as Charles Lewis Cotton. There are other records associated with their names. There may be a fee for using Ancestry. Or you may view these records online at one NARA's facilities for free via ALIC. For the nearest NARA location, please consult our web page at https://www.archives.gov/locations/. Also, some of the images from Ancestry are available for free on Family Search at https://www.familysearch.org/en/.
We hope this information is helpful. Best of luck with your family research!