This is from the 1870 census. Duke Bates is living in the home the Wunder family (his in-laws?) in Cincinnati, Ohio. His wife is "Vagima" which is probably more likely "Virginia" and "Jennie" would be a proper nickname for that.
Name: Â Duke Bates
Age in 1870: 22
Birth Year: abt 1848
Birthplace: Kentucky
Dwelling Number: 224
Home in 1870: Cincinnati, Hamilton, Ohio
Race: White
Gender: Male
Occupation: Book Keeper
Male Citizen Over 21: Y
Household Members:
Name Age
Daruel Wunder 59
Mary Wunder 58
George Wunder 27
Edward Wunder 22
Charles Wunder 19
Ella Wunder 15
Duke Bates 22
Vagima Bates 18
Here's an entry from a family tree on Acenstry-
Marmaduke Bates
1848–1926
BIRTH 5 APR 1848 • Newport, Kentucky
DEATH 4 FEB 1926 • Chicago, Cook, Illinois
Family
Parents
Thomas Bates
1820–
Margaret Dodsworth
1819–1900
Spouse & Children
Virginia Junie Wunder
1853–1921
Edna Bates 1873–1942
Ella Viola Bates 1875–1884
Frank Marmaduke Bates 1879–1884
Everett Gregg Bates 1881–1884
Alice Marie Bates 1887–1941