Here is a very close match for your Lewis - in Burke County (which is a parent county for Jenkins)

Name: Lewis Kelsey
Home in 1880: District 61, Burke, Georgia
Age: 11
Estimated birth year: abt 1869
Birthplace: Georgia
Relation to head-of-household: Son
Father's name: James
Father's birthplace: GA
Mother's name: Peggie
Mother's birthplace: GA

Occupation: At School
Marital Status: Single
Race: Black
Gender: Male

Household Members: Name Age
James Kelsey 30
Peggie Kelsey 30
Jane Kelsey 12
Lewis Kelsey 11
Isaac Kelsey 9
Amerca Williams 30

There is also another Lewis in town:

Name: Lewis Kelsey
Home in 1880: District 61, Burke, Georgia
Age: 30
Estimated birth year: abt 1850
Birthplace: Georgia
Relation to head-of-household: Brother
Father's birthplace: GA
Mother's birthplace: GA
Neighbors: View others on page
Occupation: Works On Farm
Marital Status: Married
Race: Black
Gender: Male

Household Members: Name Age
Jack Kelsey 51
Easter Kelsey 50
Ceanie Kelsey 17
Lizzie Kelsey 10
Nelson Kelsey 9
Lewis Kelsey 30

The age is off for the one found in 1900 - but I'd keep this too as a possible relative.

Interestingly - Burke county has Brinson's living right next door to Kelseys.

I would focus my search on Burke/Screven county marriage records.

In 1900 there is a record that is badly misspelled in the index for Jack Kelsey from 1880 (possible father for your Lewis). In the household is a granddaughter who may be the Eula of 1910.

Name: Bulah Kelcy
Home in 1900: Militia District 1444, Screven, Georgia
Age: 6
Estimated birth year: abt 1894
Birthplace: Georgia
Relationship to head-of-house: Granddaughter
Race: Black

Household Members: Name Age
Jack Deley 75 (this is Kelsey)
Easter Deley 71
Mary Jackson 92 mother in law
Cary Kelcy 21
Alverta Mingle 21
Lula Kelcy 16 granddaughter
Bulah Kelcy 6 granddaughter

Hope this helps,

Denise