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Dear Ms. Myers,
Thank you for posting your request on History Hub!
There are a number of record types that can include information about children. Have you been able to locate Aram in the U.S. Federal Census? Could he have a naturalization record? These are good places to start your search. The U.S. Federal Census records have been digitized and are available online, learn more here: https://www.archives.gov/research/genealogy/census. If you know where Aram resided in the U.S., we suggest that you reach out to the National Archives facility that maintains court records for that state(s). Please use this listing: https://www.archives.gov/research/court-records.
If it is the Aram Saretoff was married to Florence Daraban and resided in California, her 1943 naturalization record states that she had no children.
https://www.ancestryinstitution.com/interactive/3998/40735_1220706418_0022-01551?pid=902430555&backurl=https://search.ancestryinstitution.com/cgi-bin/sse.dll?_phsrc%3DlCS358%26_phstart%3DsuccessSource%26usePUBJs%3Dtrue%26qh%3DtCWu1c/rQdjIDrBrKYJ22g%253D%253D%26gss%3Dangs-g%26new%3D1%26rank%3D1%26msT%3D1%26gsfn%3Daram%26gsfn_x%3D0%26gsln%3Dsaretoff%26gsln_x%3D0%26catbucket%3Drstp%26MSAV%3D0%26uidh%3Ddw6%26pcat%3DROOT_CATEGORY%26h%3D902430555%26dbid%3D3998%26indiv%3D1%26ml_rpos%3D8&treeid=&personid=&hintid=&usePUB=true&_phsrc=lCS358&_phstart=successSource&usePUBJs=true (there are quite a few records on Ancestry.com relevant to this Aram Saretoff - voter, military, marriage, death, etc).
If Aram was married to a woman named May and resided in Pennsylvania, the 1920 Federal Census lists a child named George who would have been born around August of 1919.
https://www.ancestryinstitution.com/interactive/6061/4384982_00852?pid=99386214&usePUB=true&backurl=https%3A%2F%2Fsearch.ancestryinstitution.com%2Fcgi-bin%2Fsse.dll%3Fqh%3DtCWu1c%252FrQdjIDrBrKYJ22g%253D%253D%26gl%3Dallgs%26gss%3Dsfs28_ms_f-2_s%26new%3D1%26rank%3D1%26msT%3D1%26gsfn%3Daram%26gsfn_x%3D0%26gsln%3Dsaretoff%26gsln_x%3D0%26catbucket%3Drstp%26MSAV%3D0%26uidh%3Ddw6b (it is difficult to make a direct connection, but this could be the same Aram noted above - Aram and Florence didn’t wed until 1938).
We hope this information is useful. Best of luck with your family research!
[Information provided by Elizabeth Burned, Subject Matter Expert]