"They think this is baby Lisa," said the mother, Amy, about her daughter Lucy.
Amy and her husband David, whose last names weren't reported, have been questioned by police five times about their 10-month-old daughter, who looks like missing baby Lisa Irwin, who disappeared from her home in the suburban Kansas City, Mo., area of Northland in early October, The Kansas City Star reported Saturday. Amy, David and Lucy live in the Kansas City suburb of Overland Park, Mo.
"I can't tell you how emotionally this has affected me," Amy said. "It's to the point where I'm afraid of going out. It's very upsetting."
She recounted how at a grocery store with Lucy, shoppers began intensely watching her in the aisles. She was approached by a group of older women who lifted up Lucy's dress and examined her legs for a birthmark said to be on Lisa's.
A police officer then followed her home and asked her to prove her daughter's identity through immunization records.
"At that point, I was glad people were paying attention," said Amy, who didn't want her last name published because of fears for her baby's safety. "I would want that if my baby were missing. I just thought, 'Wow. What a day. It's a fluke.'"
More recently, however, there was a more disconcerting experience for the family. On Nov. 30, an officer showed up at the family's home while Amy was out with Lucy.
Amy said she called Overland Park police, Kansas City police and the sheriff's office, all of which told her they had not sent an officer.
"My heart dropped to my stomach," she said. "I was wondering, 'Who's been inside my home asking about my baby?'"
It turned out to be a Kansas City investigator who had not yet logged the visit in the database.
A source close to the investigation, whose name was not reported, said looking into tips about Amy and David were a waste of resources.
"Not only were these people bothered," he said, "we wasted more law enforcement time."
Celebrity Families of 2014 [PHOTOS]