He was naturalized in 1934 (en masse, and prior to the fact of his birth) when Congress, using it's power of Naturalization, created a law that thereafter "naturalized" all children born to American women who met the age and residency requirements specified in the law.
If your mother didn't meet the age and residency requirements specified, you didn't GET the citizenship.
Does this sound like "natural" citizenship to you?
When the conditions of your birth, make you a citizen, without requiring you to submit another application, you are a natural-born citizen.
All the other attempts to add additional requirements, just sound silly.