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Dear Ms. Burgess,
Thank you for posting your request on History Hub!
We searched the National Archives Catalog and located the Population Schedules for the 1840 Census the Population Schedules for the 1850 Census, the Population Schedules for the 1860 Census, the Population Schedules for the 1870 Census, the Population Schedules for the 1880 Census, the Population Schedules for the 1890 Census; the Population Schedules for the 1900 Census, and the Population Schedules for the 1910 Census, the Population Schedules for the 1920 Census, the Population Schedules for the 1930 Census, and the Population Schedules for the 1940 Census in the Records of the Bureau of the Census (Record Group 29) that may contain information about Charles Cragg, John Cragg, and Agnes Litchult Cragg in Illinois. The 1940 Census schedules are digitized and available using the Catalog. For more information about the non-digitized schedules, please contact the National Archives at Washington, DC - Textual Reference (RDT1) via email at firstname.lastname@example.org.
Due to the COVID-19 pandemic and pursuant to guidance received from the Office of Management and Budget (OMB), NARA has adjusted its normal operations to balance the need of completing its mission-critical work while also adhering to the recommended social distancing for the safety of NARA staff. As a result of this re-prioritization of activities, you may experience a delay in receiving an initial acknowledgement as well as a substantive response to your reference request from RDT1. We apologize for this inconvenience and appreciate your understanding and patience.
We suggest that you review NARA’s Resources for Genealogists, as well as the History Hub Blog titled Suggestions and Advice for Family History Researchers. We also suggest that you visit the Illinois State Archives website for resources to search for marriage and death records online. Most births were not recorded consistently before 1877 in the state, but you may locate records by contacting the county clerk’s office where the birth took place to see if there are any. In addition, the FamilySearch Research wiki for Illinois may be helpful.
We hope this is helpful. Best of luck with your family research!
The Family's Surname per Census records and tombstone entry's is CRAIG
1860 U.S. Federal Census https://www.ancestry.com/discoveryui-content/view/38140121:7667
In the following Illinois marriage record it is stated that Agnes was married 3 times. According to your post her first marriage must have been Cragg/Craig, in this marriage record the second would have been Cairnes/Cairns and shows her third marriage to Joseph Milligan in the year 1884 both bride and groom were 65 years old, which would make her born about 1819.
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Found a family tree on familysearch.org showing John and Agnes Cragg with children, Martin, Joseph and Edward but there is not a Charles listed. Genealogies Details — FamilySearch.org