The 1930 census shows Ida as Head of Household with the 4 children. She says she's married but there's no husband in the household. It looks like the family lived in TN and only moved to AL between the birth of Ida and baby Robert J.

Source Citation: Year: 1930
Census Place: West Huntsville, Madison, Alabama
Roll: 38; Page: 8A; Enumeration District: 43
Name: Ida Hill
Home in 1930: West Huntsville, Madison, Alabama
Age: 32
Estimated Birth Year: abt 1898
Birthplace: Tennessee

Ida Hill, Head, 32, married, age at first marriage: 18, b. TN, parents b. TN, No occupation
Carl Hill, Son, 9, attends school, b. TN, father b. MO, mother b. TN
Cora L Hill, Daughter, 7, attends school, TN, MO, TN
Ida M Hill, Daughter, 6, TN, MO, TN
Robert J Hill, Son, 8/12, AL, MO, TN

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I don't know if this is your Ida Mae, but the Alabama Death Index shows an Ida M. Miller died in 1953 in Madison Co.

Name: Ida M Miller
Death Date: 18 Jul 1953
Death County: Madison
Volume: 30
Certificate: 14775
Roll: 6