I grew up in the Chicago suburbs (40’s-50’s), the spraying for mosquitos was done at night, usually after midnight, so as few people as possible would be impacted. While it is poosible, I seriously doubt her story.
But politically, it's damaging. We think now that pesticides are horrible and damaging.
So I spread the tale of Hillary riding her Schwinn 3 speed through a fine mist of DDT for fun. “Hmm, that explains a lot...”