In the marriage records her name has been recorded as “Vanie”, but she has aslo been recorded as “Nannie” in his WWI Draft Registration Card.

1900 - Sullivan County, Tennessee406
SALTS, Thomas head w m Oct 1848 51 m 16 TN TN TN Blacksmith
SALTS, Amanda wife w f Oct 1861 38 m 16 2 children / 1 alive TN TN TN
SALTS, Jerome son w m Apr 1885 15 s TN TN TN

World War 1 Draft Registration Cards, 1917-1918
Name: Jerome Luther Salts
City: Not Stated
County: Washington
State: Tennessee
Birth Date: 2 Apr 1885
Race: White
Roll: 1877698
DraftBoard: 0

1920 - Johnson City, Washington County, Tennessee1177
SAULTS, Alexander head m w 50 TN TN TN machinist / chemical plant
SAULTS, Alice wife f w 40 m TN GA TN
SAULTS, William son m w 15 m TN TN TN
SAULTS, Blanche daughter f w s 14 TN TN TN
SAULTS, Kate daughter f w 7 s TN TN TN
SAULTS, Ruby daughter f w 5 s TN TN TN
SAULTS, Roy son m w 3 2/12 s TN TN TN
SAULTS, Guy son m w 0/12 s TN TN TN
SAULTS, Jerome brother m w 36 s TN TN TN laborer Tannery

1920 - Sullivan County, Tennessee408
SALTS, Thomas head m w 66 m TN TN TN Blacksmith / own shop
SALTS, Amanda wife f w 50 m TN TN TN
SALTS, Estell grand dau f w 5 s TN TN TN
SALTS, Frank son m w 2 10/12mths s TN TN TN

The two grandchildren are Jerome's children. Jerome is living with his half brother Alexander. I can't find a marriage for Jerome, but his wife probably died.

1930 - Jonson City, Washington County, Tennessee
TAYLOR, Rhoda head 60
AKERS, Thomas son 25
AKERS, Francis daughter 16
SAULTS, Jerome lodger 45 m43 TN TN TN laborer / refrigeration
SAULTS, Thelma lodger 27 m25 TN TN TN
SAULTS, Frank lodger 13 s TN TN TN

[Thelma Saults was an Akers by birth. She should have been listed as a daughter, but was listed as a lodger.]