I am looking for a death record, or marriage record, or really any record of a "William" Miller (died between 1835 and 1880) in Russell County, Kentucky. He was married to Catherine (born between 1810 and 1814, died after 1870), and they had two children, Rebecca Jane Miller and Mary "Polly" Ann Miller. He probably married Catherine by 1830 or 1831, because Rebecca was born in 1832, and he probably died between 1835 and 1850, probably between 1837 and 1850. (It is unclear from the records whether Polly was really born in 1836 or 1838, but it was probably the latter, because that is on her death certificate and headstone. I think she just lied about her age because she was 15 when she got married, but said she was 17.) It is possible that his name was not "William," but something else. I have ruled out his brothers Richard, Phillip, and Andrew, who are the girls' uncles, and there is another brother Jesse, who seems not to be the right one, because he did not marry a Catherine.
In 1830, there were five boys living at home, but of course they might not all have been sons, and "William" may have already left home (especially because, if that really was his name, he was probably the eldest, and if he was not married on that census, he married within the following year). I got the name "William" Miller from a post from 2004 that appeared on Genealogy.com and on an Ancestry.com message board. It gave the marriage information for Polly, and the date and spouse were correct. She married Isaac Whittle. It is a Whittle family genealogy, that went back about six generations prior to the generation Isaac was in. It gave the marriage information, including the name of the bride's parents: "William and Catherine Miller."
"William," if that was really his name, is the son of William Miller and Mary Wooldridge, who also went by Polly. William Sr. is shown on the census in 1830 and 1840 in Russell County.
There are many trees on Ancestry, all of which show their uncle Philip or Richard are their father, and some show Catherine as a Chapman or a Jackman as her maiden name, but I can find no sources to support this. I think it's just sloppy work, since the girls lived with their uncle Philip after their father died, and Richard was a witness at Rebecca's wedding (Andrew was a witness at Polly's). People just assumed that had to be her father (whichever record they looked at).
Both Rebecca's and Polly's marriage documents list their mother as Catherine Miller; Polly's death records show her mother as Katie Miller. She might have been Sarah Catherine Miller, because' Rebeca's death records have her as Sarah Miller.
Here are some links:
The post that gave me the same William: https://www.ancestry.com/boards/thread.aspx?mv=flat&m=1804&p=localities.northam.usa.states.kentucky.counties.russell
"Isaac, b. 1832. Married Mary [Polly] MILLER, NOV 1854, daughter of William and Catherine MILLER."
1830 census: https://familysearch.org/ark:/61903/1:1:XH53-NFY
1840 census: https://familysearch.org/ark:/61903/1:1:XHTP-3LL
Polly's marriage: https://www.familysearch.org/ark:/61903/1:1:QKJS-QHK7
Rebecca's death : Rebecca Jane Miller Lawless 14 Feb 1832-26 Feb 1918 died in Casey CO, KY, certificate is on Ancestry but I don't have an account there, can't provide link
Polly's death certificate: https://familysearch.org/ark:/61903/1:1:N9T5-CZ9
Polly's 1880 census, showing Richard was her uncle:https://familysearch.org/ark:/61903/1:1:MCZR-Q91
1850 census, shows Philip was married to Nancy Conn; the older Polly is his sister: https://familysearch.org/ark:/61903/1:1:M65K-NQ3
1860 census with Catherine in the household of in-laws Philip and Mary "Polly" Miller, brother and sister of her late husband: https://www.familysearch.org/ark:/61903/1:1:MZBB-NKT?from=lynx1&treeref=L1G2-H9W
1870 census with Catherine in the household of in-laws Philip and Mary "Polly" Miller, brother and sister of her late husband:https://www.familysearch.org/ark:/61903/1:1:MX49-FTF