This Census record matches pretty well with what you have:
Name: Lucy Rader
Titles and Terms:
Event Type: Census
Event Date: 1860
Event Place: 17th Civil District, Monroe, Tennessee, United States
Gender: Female
Age: 40
Race: White
Race (Original): [Blank]
Occupation:
Birth Year (Estimated): 1820
Birthplace: South Carolina
Page: 227
Household ID: 1667
Affiliate Name: The U.S. National Archives and Records Administration (NARA)
Affiliate Publication Number: M653
Affiliate Film Number: 1265
GS Film Number: 805265
Digital Folder Number: 005171444
Image Number: 00612
Household Role Gender Age Birthplace
David Rader M 65 North Carolina
Lucy Rader F 40 South Carolina
Caroline Rader F 15 Georgia
Angeline Rader F 11 North Carolina
Nancy Rader F 10 Tennessee
Marcus B Rader M 8 Tennessee
Myra Rader F 3 Tennessee
H H Harberson M 3 Tennessee
Citing this Record:
"United States Census, 1860", database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M8YM-M2P : accessed 7 January 2016), Lucy Rader in entry for David Rader, 1860.
This one doesn't quite match up as I can't figure out who the daughter is who would be M A in this record because Myra would have been too young to fit and you also listed her as marrying someone else. But L Rader's stats match up with Lucy's in the first record.
Name: L Rader
Event Type: Census
Event Date: 1880
Event Place: District 17, Monroe, Tennessee, United States
District: ED 212
Gender: Female
Age: 60
Marital Status: Widowed
Race: White
Race (Original): W
Occupation:
Relationship to Head of Household: Mother-in-law
Relationship to Head of Household (Original): MotherL
Birth Year (Estimated): 1820
Birthplace: South Carolina, United States
Father's Birthplace: North Carolina, United States
Mother's Birthplace: North Carolina, United States
Note:
Sheet Letter: A
Sheet Number: 152
Sheet Number and Letter: 152A
Household ID: 13322238
Person Number: 6
Volume: 2
Affiliate Name: The U.S. National Archives and Records Administration (NARA)
Affiliate Publication Number: T9
Affiliate Film Number: 1272
GS Film Number: 1255272
Digital Folder Number: 005162506
Image Number: 00444
Household Role Gender Age Birthplace
Rufus Mcgaha Self M 36 North Carolina, United States
M A Mcgaha Wife F 33 North Carolina, United States
S A M Mcgaha Daughter F 7 Tennessee, United States
J M Mcgaha Son M 5 Tennessee, United States
M L Mcgaha Daughter F 0 Tennessee, United States
M S Mcgaha Sister F 55 North Carolina, United States
L Rader Mother-in-law F 60 South Carolina, United States
Citing this Record:
"United States Census, 1880," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MDWM-X4M : accessed 7 January 2016), L Rader in household of Rufus Mcgaha, District 17, Monroe, Tennessee, United States; citing enumeration district ED 212, sheet 152A, NARA microfilm publication T9 (Washington D.C.: National Archives and Records Administration, n.d.), roll 1272; FHL microfilm 1,255,272.
