From familysearch.org. Appears from his death record in Ben Hill, GA that his wife was 'Bobbie L". Maybe you canlocate the actual death cert noted or search for the children's records and find out more?
From familysearch.org.
Georgia, Death Index
Name Thomas L Lester
Death 20 Jan 1935 Ben Hill, Georgia
Certificate Number: 145
U S Census, 1930, Militia District 1537, Ben Hill, Georgia
Head Tom L Lester M 44 Georgia
Wife Bobbie L Lester F 32 Georgia
Daughter Geraldine Lester F 10 Georgia
Daughter Frances Lester F 9 Georgia
Son Thomas Lester M 7 Georgia
Daughter Mildred Lester F 5 Georgia
Daughter Ann Lester F 4 Georgia
Son Jack Lester M 0 Georgia
U S Census, 1940 Ward 1, Fitzgerald, Militia District 1537, Ben Hill, GA
Head Bobbie Lester F 42 Georgia Widow
Daughter Frances Lester F 20 Georgia
Son Thomas Lester M 17 Georgia
Daughter Mildred Lester F 15 Georgia
Daughter Mariba Lester F 13 Georgia
Son William Lester M 11 Georgia