I am still researching to see if this is the right person, but I so far have only found one record for a "Larry L. Burrow" born in Illinois in 1936.
"United States Census, 1940," Larry L Burrow in household of Carol L Burrow, Decatur Township, Macon, Illinois, United States
Name: Larry L Burrow
Titles & Terms:
Event: Census
Event Year: 1940
Event Place: Decatur Township, Macon, Illinois, United States
Gender: Male
Age: 4
Marital Status: Single
Race (Original): White
Race (Standardized): White
Relationship to Head of Household (Original): Son
Relationship to Head of Household (Standardized): Son
Birthplace: Illinois
Estimated Birth Year: 1936
Residence in 1935:
Enumeration District Number: 58-43
Family Number: 314
Sheet Number and Letter: 14A
Line Number: 15
NARA Publication Number: T627
NARA Roll Number: 845
Digital Folder Number: 005459586
Image Number: 00174
Household Gender Age Birthplace
Head Carol L Burrow M 26 Illinois
Wife Lois I Burrow F 22 Tennessee
Son Larry L Burrow M 4 Illinois
Son Darrell E Burrow M 2 Illinois
Daughter Lorretta L Burrow F 1
I do show the father "Carol L Burrow" to be listed as "Carroll L Burrow" in other census records and a Find-A-Grave listing for a "Lois I. Burrow" buried in Macon County, IL passed away on January 3, 1967:
Link here.
A "Lois I Carter" (Carter being the mother's name listed on the California Death Index record) is listed in the 1930 census record as being in Macon County, IL, having previously been listed in the 1920 census record as being in Macon, Tennessee. The circumstantial evidence seems to tie together so far. I will look into the other children listed in the Burrow household next.
"United States Census, 1920," Lois I Carter in household of William N Carter, , Macon, Tennessee
Name: Lois I Carter
Residence: , Macon, Tennessee
Estimated Birth Year: 1918
Age: 2
Birthplace: Tennessee
Relationship to Head of Household: Daughter
Gender: Female
Race: White
Marital Status: Single
Father's Birthplace: Kentucky
Mother's Birthplace: Tennessee
Film Number: 1821754
Digital Folder Number: 4392008
Image Number: 00132
Sheet Number: 11
Household Gender Age Birthplace
SELF William N Carter M 30y Kentucky
WIFE Vicky Carter F 25y Tennessee
SON Sammie B Carter M 10y Tennessee
SON Jimmie L Carter M 8y Tennessee
SON Cager C Carter M 6y Tennessee
DAU Lois I Carter F 2y0m Tennessee
"United States Census, 1930," Lois I Carter in household of William N Carter, Decatur, Macon, Illinois
Name: Lois I Carter
Event: Census
Event Date: 1930
Event Place: Decatur, Macon, Illinois
Gender: Female
Age: 12
Marital Status: Single
Race: White
Birthplace: Tennessee
Estimated Birth Year: 1918
Immigration Year:
Relationship to Head of Household: Daughter
Father's Birthplace: Kentucky
Mother's Birthplace: Tennessee
Enumeration District Number: 0039
Family Number: 261
Sheet Number and Letter: 11A
Line Number: 21
NARA Publication: T626, roll 538
Film Number: 2340273
Digital Folder Number: 4584619
Image Number: 00780
Household Gender Age Birthplace
Head William N Carter M 40 Kentucky
Wife Vicktory Carter F 35 Tennessee
Son Samuel B Carter M 19 Tennessee
Son Jimie L Carter M 17 Tennessee
Son Cager C Carter M 15 Tennessee
Daughter Lois I Carter F 12 Tennessee
Son Lester P Carter M 10 Tennessee
Son Donald H Carter M 8 Tennessee
Daughter Mabel Y Carter F 1 ILlinois