Yes, L. A. FARROW is the same as Littleton FARROW. Here's more:

1860 US Census: Canoochee, Emaneul Co., GA - District 49; Household 594/602:
FARROW, Jesse 28
Mary 31
Littleton 5
Elizabeth 4

1870 US Census: Emanuel Co., GA - GMD 49; Household 92:
FARROW, Jesse 47
Mary 47
Littleton 16
Elizabeth 15
Mary 1

1880 US Census: Emanuel Co., GA - District 50; Household 186:
FARROW, Jesse 58
Mary 50 ?
Mary 11
Thomas 9

1880 US Census: Emanuel Co., GA - District 50; Household 187:
FARROW, L.A. 25
Oliff 24
Edward 4
John 1
FOREHAND, Milley 8; stepdaughter

1900 US Census: Emanuel Co., GA - GMD 57; District 104; Household 113:
FARROW, Littleton 45; born Aug 1854
Olve . 51; born Jun 1848
John 22; born Feb 1878
Jeff 20; born Mar 1880
Thomas 15; born Dec 1884
Joe B. 14; born Nov 1885
Littleton 12; born Oct 1887
Olive 12; born Oct 1887
Polley 8; born Feb 1892
Velverlee ? 7; born Mar 1893
George 14; born Apr 1886; son gr (grandson?)

1910 US Census: Emanuel Co., GA - GMD 57, District 97; Household 144:
FARROW, Lit 56; married 26 years ?
Martha 56; 11 children living
Lit 21
Polley 18
Velva 17

Next door at Household 143:
FARRER (Farrow), John A. 31; married 5 years
Essie 23; 3 children, 3 living
Anna 4
Harry ? 2
Johnnie 2 months

1920 US Census: Summertown, Emanuel Co., GA - ED 28; Household 284/290:
CROSS, George W. 55; widowed
Julia A. 7; daughter
Jesse W. 3 ?; son
Katie L. 2/12; daughter
FARROW, Littleton 66; widowed
FARROW, Lottie 25; sister-in-law
COLA, Perry 19; black servant

1930 US Census: Emanuel Co., GA - GMD 1429, District 18; Household 41/42:
FARROW, John A. 52; married at 22
Essie A. 43; married at 18
Harvey 22
Rufus 19
Moses 15
Marion 14; son
Alfred 13
James 10
Clifford 7
Li___rey 6; son
Joseph 5
Wesley 3 11/12

By the way, I am a GREEN descendant, too. Who are Essie Green's parents?