If survivors of atomic bombs have babies are the babies affected?

I am a Survivor of atomic testing in 1954 in the southwest United States. I was born on Aug 18, 1954 in Downey, California and according to my mother(deceased), I was born with a tan and platinum hair and burns from the waste to the knees and had to be treated with Vaseline and baby powder for an entire year after my birth. She said that , that day the winds carried fallout dust into the maternity ward affecting the babies that day. So I would assume there are more of us if they are still alive.