From the census records, she was born in 1877 & her marriage to General Elkins gave this year also for her birth. Her date on her death certificate is Dec. 13, 1913.
Died from Tuberculosis

I believe in the 1910 census where it states Geneva was widowed, this could have been From her husband John Anderson.
In 1910 census her children by General Elkins are listed as Anderson which is not correct. The only child she had by John Anderson was Lonnie.
Been lookin for her marriage record to Alvin Hawkins.
They had a son named Harlen.

An age old question for me is the B. intial in her name on her stone. I can't find a record of it anywhere. No one so far knows what that stands for. Ever who bought her stone knew, but Geneva has always been a mystery for me on information about her. Not much is to be found.
Names on her marriage to General Elkins is General J. Elkins & Geneva B. Wright

Married General Elkins in 1893
Children: Virgie Elkins, Vina Elkins, Lydia Elkins, Bill Elkins, Lonnie Anderson, Harlan Hawkins from Alvin Hawkins
(I seen a another child listed as Fairlie born in 1901) Not for sure about her

In the 1910 census, Lydia is age 9 living with Geneva's sister Martha Looney at Jenkins, Ky. Says she was born in 1901. Note: Fairlie could be Lydia same birth year or a mistake)
I don't have a death or any other info on her.

Name Age
Solomon E Looney 23
Martha Looney 18
Opal Looney 1
Lydia Elkins 9

1900 Pike Co Ky Census:

Name Age
General Elkins 24. Stated they had been married for 7 yrs
Geneva Elkins 23
Vina Elkins 6
Virgie Elkins 3
Liza Elkins 1

In the 1910 census records states she had 7 children & 6 living.
(Note: in the above info the out of 7 children, she said 6 were living, Fairlie must be the one deceased. Lydia age 9 is living with her sister Martha & her family in Jenkins)
Name: Genevra Anderson
[Geneva Anderson]
Age in 1910: 30
Birth Year: abt 1880
Birthplace: Kentucky
Home in 1910: Magisterial District 8, Pike, Kentucky
Race: White
Gender: Female
Relation to Head of House: Head
Marital Status: Widowed
Father's Birthplace: Kentucky
Mother's Birthplace: Kentucky
Native Tongue: English
Occupation: Farmer
Industry: General Farm
Employer, Employee or Other: Own Account
Home Owned or Rented: Rent
Farm or House: Farm
Able to Read: Yes
Able to Write: Yes
Number of Children Born: 7
Number of Children Living: 6
Out of Work: N
Number of weeks out of work: 0

Household Members:
Name Age
Genevra Anderson 30
Virgie Anderson 13
Lonnie Anderson 4
Harlen Anderson 0

In the 1920 census her son Lonnie is age 14 & living with his dad's brother & his wife, Aaron & Alifair Anderson on upper Elkhorn.