Carrie Pernula, 38, has since been arrested and admitted sending the anonymous threats.
She had become riled by children making noising and leaving items strewn across her yard, according to police.
The first anonymous threats came in a note, which read: “The children look delicious. May I have a taste?”
They called police and took to a community Facebook page, posting: “Opened our mail today to this letter. Obviously my stomach started doing somersaults.”
Then the campaign against the family in Champlin, Minnesota, intensified.
Magazine subscriptions started to arrive in the name of “tasty children” or similar words.
Champlin police managed to trace the subscriptions to Pernula, who was arrested on Friday last week and faces possible charges of gross misdemeanour terroristic threats and stalking.
Ty Schmidt, Champlin deputy police chief, said: “Instead of a name on the address label it said things like ‘tasty children’.
Pernula was released from jail on Monday and is believed to be back at home.
She admitted to investigators that she sent notes and magazines because the children at that house were “always putting stuff on her porch.”
The Champlin city attorney is reviewing her case before deciding whether or not to charge Pernula.