Senior Sergeant Steve Aitken said the woman sounded like she was gagging or had a medical condition.
"She could only grunt," Aitken told the Otago Daily Times.
Police reported to her home in Dunedin and found that the 64-year-old woman had mistaken glue for lip cream and had glued her lips together.
She was taken to Dunedin Hospital and has since been released, the Times said.
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