Final answer:
The incorrect statement is that the parent keeps ipecac syrup for poisoning emergencies, which should not be used and is outdated advice.
Step-by-step explanation:
The statement made by the parent of a toddler that should be corrected immediately by the nurse is: "I keep a bottle of ipecac syrup locked up but where I can get to it if necessary." The use of ipecac syrup has been discouraged by healthcare professionals for the treatment of accidental poisoning at home, as it can be harmful and is no longer recommended for inducing vomiting. In such situations, it is crucial to contact the local poison control center for guidance on appropriate action.