Did not find marriage record, but appears they were married prior to 1920 census. Other census data indicates her dob as 1901 or 1902.
United States Census, 1940 Corpus Christi, Justice Precinct 1, Nueces, TX
head Alvin C Latham M 42 abt 1898 TX
wife Pearl Latham F 39 abt 1902 TX
dau Ophelia Latham F 16 Texas
dau Peggy Sue Latham F 8 Texas
residence in 1935: Beeville, Bee, Texas
United States Census, 1930 Mexia, Limestone, TX
head Pearl Latham F 28 abt 1902 TX/MS/TX
daughter Naomi Latham F 9 TX
daughter Ophelia Latham F 6 TX
United States Census, 1920 Wichita, TX
self A C Latham M 21y abt 1899 TX
wife Pearl Latham F 19y abt 1901 TX
Texas, Birth Index, 1903-1997
Peggy Sue Latham Female
Birth 13 Apr 1932 Smith, Texas
father: Alvin Carl Latham
mother: Pearl Shelton