The mother tried to get a refund for the cot that weekend, but staff told her they would only be able to give her a replacement.
It was not until Ms Bailey returned with her mother as "back up" that she was given her money back.
But Ms Bailey is still concerned about the quality of the cot design.
"The last thing I'd want is to hear that a baby had been hurt or worse because the cot fell apart - I'm worried about the others out there."
But Baby City said it had "complete faith" in the product and blamed the incident on a one-off fault.
Managing director Trevor Douthett said he was confident the product was safe and that Ms Bailey's cot fell apart because for some reason the lower rail at the back of the cot was not there.
Mr Douthett said there had been one other complaint about the cot, but it was a different issue.
"That product was made to and tested to every safety standard in New Zealand ... I'm very comfortable with its quality," he said.
Mr Douthett said it should have been easier for Ms Bailey to get a refund, but was pleased she got it in the end.
Baby Max specifically manufacturers for Baby City.