May had sought treatment after suffering "trauma" during a photoshoot in which "she had to hold an awkward pose for a while," the lawsuit claims.
It alleges that Swartz should have recognised that May needed a CAT scan to accurately diagnose possible spinal issues before treatment.
"A reasonable chiropractor in Dr Swartz's position would not have adjusted May because of the risks involved and would have referred May to the emergency room," the lawsuit alleges.
After her last adjustment with the chiropractor, May complained of dizziness and headaches and weas taken to a hospital with difficulty speaking and left-sided weakness, the lawsuit states.
She lost consciousness and her parents later made agreed with doctors to remove May from life support because doctors had declared her brain dead, the lawsuit says.
"At the time of her death, Katie May was 34 years old with a full life ahead of her," the lawsuit seeking unspecified damages states.
"May devoted her life to her daughter, Mia.
"Mia is deprived of growing up with not only her mother, but her best friend and support system."
Maimon is suing for malpractice, negligence and wrongful death.
Swartz has not responded to the lawsuit at time of publication.