According to the Texas Birth Indexes:
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Tom and Essie (Knight) Barker had a un-named female infant 1930-02-24 in Freestone county.There were no other births for this couple in the 26-49 birth indexes.
In the SSDI for a Tommie born 1930-02-24 shows 1 entry:
Name Birth Death Last Residence Last Benefit SSN Issued
TOMMIE J YOUNG24 Feb 1930 15 Oct 1990 (V) 77478 (Sugar Land, Fort Bend, TX) (none specified) 453-42-4484 Texas
But according to the Texas Death Indexes this person died in Freestone county.
Young Tommie Jean Dea090 F 1990-10-04Freestone
The birth record was the only entry for Tommie Barker in those records 1926-49 so she didn't have any children before 1950.
In all of the 1950 to 1960 birth records, there were only two Young births in Freestone county. One was Brady Young in 1950 and Roger Young III in 1957.
More than likely Tommie J Young is yours.