other documents with parents listed:
social security application, use SS-5 form
obituary, probably available from your local public library interlibrary loan program, if you know when and where she passed away
death certificate, vital records of state where she passed away
cemetery record, maybe findagrave.com or interment.net
missouri state archives
they do have other records that are not online. marriage records are largely not online.
once you know her parents’ names, you can look to see where they were married, where they were in the 1880 census. the 1890 census was largely destroyed, so this makes finding her with parents more difficult, since she was born after the 1880 census.
historical newspapers. often birth, death, marriage news items in the newspaper. you might get access through the local public library/interlibrary loan program. state historical societies and state archives usually also have these.
the marriage document from illinois might list parents, would list witnesses, date and location.
childrens’ birth certificates often list the maiden name of the mother. in this case, you seem to know her name was tucker. since georgia likely filed a social security application when social security went into effect, and she would have shown a document showing proof of age, since she probably knew her mother’s name on the application, this document might be a very good place to find out her parents.
in the other message, i showed rufus’ parents’ names, location as of the 1880 census.
suzanne hamlet shatto