The 1930 and 1920 census records list her as born Texas:

Name: Harvey Jones
Home in 1930: Navasota, Grimes, Texas
Age: 33
Estimated Birth Year: abt 1897
BirthPlace: Texas
Relation to Head of House: Head
Spouses's Name: Mary
Race: Negro

Mary Jones 28 b. TX parents AL
Levern Jones 13
James Jones 11
Frances Jones 1

1920:

Name: Harvey Jones
Home in 1920: Navasota, Grimes, Texas
Age: 75 years (this is a transcription error)
Estimated Birth Year: abt 1845
BirthPlace: Texas
Relation to Head of House: Head
Spouses's Name: Mary
Father's Birth Place: Texas
Mother's Birth Place: Texas
Marital status: Married
Race: Black
[Colored]
Sex: Male
Home owned: Rent
Able to read: Yes
Able to Write: Yes
Image: 914

Mary Jones 23
Lavern Jones 3 11/12
James Jones 10/12
Lelia Watte 25 sister-in-law

Here's Harvey's draft registration - lists him with wife and one child:

Name: Harvey Jones
City: Not Stated
County: Grimes
State: Texas
BirthPlace: Texas;United States of America
Birth Date: 18 Oct 1895
Race: African
Roll: 1953404
DraftBoard: 0

I would take a close look at this family from 1900:

Name: Peggie Baylor
Home in 1900: Justice Precinct 5, Grimes, Texas
Age: 47
Estimated Birth Year: abt 1853
BirthPlace: Alabama
Relationship to head-of-house: Head
Race: Black

Samuel Baylor 21
Neadham Baylor 17
Katherine Baylor 9
Simon Baylor 6

They seem to be the logical place to start - and live next door to a Jones family.