IF she were a member of the family and still living she should be listed, yes? she would only be 6 years old...
This is the census for the mother/father that are claimed to be hers.
There is no Emma Josephine LISTED as being born 1874.
1880 Jackson, St Clair, Missouri,
Age 49 --Marital Status Married
Occupation Farmer-Minister
Birth Year (Estimated) 1831
Birthplace Tennessee, United States
Father's Birthplace Virginia---Mother's Birthplace Virginia, United States
Sheet Letter D--Sheet Number 359--Person Number 0--Volume 1
R W Hudson Self M 49 Tennessee, United States
Elizabeth Hudson Wife F 44 Tennessee, United States
Robert K Hudson Son M 19 Tennessee, United States
Samuel Hudson Son M 17 Tennessee, United States
Joseph Hudson Son M 15 Tennessee, United States
Nancy Hudson Daughter F 13 Missouri, United States
Julia Hudson Daughter F 13 Missouri, United States
Wm Hudson Other M 9 Missouri, United States
Minerva Hudson Other F 5 Missouri, United States
Levi Hudson Other M 0 Missouri, United States
Citing this Record
"United States Census, 1880," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M6FZ-2JY : 14 July 2016), R W Hudson, Jackson, St Clair, Missouri, United States; citing enumeration district ED 233, sheet 359D, NARA microfilm publication T9 (Washington D.C.: National Archives and Records Administration, n.d.), roll 0714; FHL microfilm 1,254,714.
WikiTree profile Hudson-825 created through the import of Foster-Volkenant.ged on May 31, 2011 by Terry Foster. See the Changes page for the details of edits by Terry and others.
Source: S59 Abbreviation: Ancestry.com, One World Tree (sm) (Provo, UT, USA: Title: Ancestry.com, One World Tree (sm) (Provo, UT, USA: MyFamily.com, Inc., n.d.) Subsequent Source Citation Format: Ancestry.com, One World Tree (sm) (Provo, UT, USA: MyFamily.com, Inc., n.d.) BIBL Ancestry.com, One World Tree (sm) (Provo, UT, USA: MyFamily.com, Inc., n.d.). Note: ABBR One World Tree (sm) TMPLT TID 0 FIELD Name: Footnote VALUE Ancestry.com, One World Tree (sm) (Provo, UT, USA: MyFamily.com, Inc., n.d.) FIELD Name: ShortFootnote VALUE Ancestry.com, One World Tree (sm) (Provo, UT, USA: MyFamily.com, Inc., n.d.) FIELD Name: Bibliography VALUE Ancestry.com, One World Tree (sm) (Provo, UT, USA: MyFamily.com, Inc., n.d.). TMPLT FIELD Name: Page Data: Text: Online publication - Ancestry.com. OneWorldTree [database on-line]. Provo, UT, USA: MyFamily.com, Inc.
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DNA Connections
It may be possible to confirm family relationships with Emma by comparing test results with other carriers of her ancestors' mitochondrial DNA.
However, there are no known mtDNA test-takers in her direct maternal line.
It is likely that these autosomal DNA test-takers will share some percentage of DNA with Emma: