This appears to be Docke & Martha RANSOM in the 1880 census but Emma must have been born after the census was taken, which could make her birth year of abt. 1878-79 incorrect.

Source Citation: Year: 1880
Census Place: Township 6, Range 1 West, Morgan, Alabama;
Roll T9_27; Page: 47 B; Enumeration District: 262

Docke Ransom, 25, Farmer, b. AL, parents b. AL
Martha Ransom, wife, 24, Keeping House, b. AL, parents b. AL
Ida Ransom, daughter, 5, AL
Nancy Ransom, daughter, 3, AL