Putnam Co. births book H-8, p. 2, lists an unnamed son born 3 Jan 1910, father Clarence Glidewell, mother’s maiden name Alpha Thompson.

This must be Madge, with the gender listed incorrectly, since she was listed as age 9 in 1910, and there is not much room for another child to be born between 1901 and the birth of Mildred in March 1903. Also Alpha was listed in the 1910 census as the mother of 3 children, all living.