Hello,

I found Joseph's parents in 1900 in Houston County, Ga.

Farrer, Jessie Head Born 1848 age 52 farmer Ga Ga Ga
Rachel wife born 1855 age 45 15 children born 12 living Ga SC Ga
Cherry Dau age 20
Celie Dau age 13
Sallie Dau age 13 (Sallie and Celie are listed as Twins)
William Son age 10
Elisabeth Dau age 7
Joseph Son age 7 (Elisabeth and Joseph are listed as Twins)
Offie? son age 4

Note: The last name is mispelled Farrer in this census.
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1880 in Houston Co. Ga.

Farrow, Jessie age 35 Head / farmer Ga Ga Ga
Rachel age 30 wife Ga Ga Ga
Jennie age 14 dau
Mary age 10 dau
Tom age 6 son
Buck? age 3 son
Cherry age 1 dau

To find the maiden name of Rachel would be difficult to find just using to census records. You will need to find a marriage record if possible. But the mother of Joseph appears to be name Rachel.

I hope this helps

Tony