This might explain things,Its possible That Clara Was Born Out Of wedlock And Her Mother Married The Father Later Or Someone else And gave Clara Her Maiden Name as a Last Name.
Tennessee State Marriages 1780-2002
Name: James M Binkley
Spouse: Mary L Felts
Marriage Date: 17 Dec 1882
Marriage County: Cheatham
1870 United States Federal Census
Name: Mary L Felts
Age in 1870: 10
Birth Year: abt 1860
Birthplace: Tennessee
Home in 1870: District 3, Cheatham, Tennessee
Race: White
Gender: Female
Post Office: Sycamore Mills
Household Members: Name Age
J T Felts 35
Emily Felts 32
J T Felts 13
Mary L Felts 10
William B Felts 7
L W Felts 4
1900 United States Federal Census
Name: Mary L Binkley
Age: 40
Birth Date: Jan 1860
Birthplace: Tennessee
Home in 1900: Civil District 1, Cheatham, Tennessee
Race: White
Gender: Female
Relation to Head of House: Wife
Marital Status: Married
Spouse's Name: Jas Binkley
Marriage Year: 1882
Years Married: 18
Father's Birthplace: Tennessee
Mother's Birthplace: Tennessee
Mother: number of living children: 2
Mother: How many children: 2
Household Members: Name Age
Jas Binkley 42
Mary L Binkley 40
Norman Binkley 12
Mary E Binkley 5