Ms Vega arrived in Auckland from Buenos Aires on Tuesday morning.
She was travelling with two women and a man as well as the two children.
The group were staying at a motel in Auckland and police said they had come to New Zealand for a holiday.
The man dropped Ms Vega off at Auckland City Hospital's emergency department at 5.44am on Wednesday. He then left to ensure the children were okay. Ms Vega was declared dead 37 minutes later.
The man returned to the hospital and was there when police were called.
The packets of cocaine were discovered during a post mortem examination and police are working to find out why Ms Vega was carrying the drug, where the cocaine was supposed to end up and whether anyone else was involved.
Detective Inspector Scott Beard said he was awaiting further information about Ms Vega from authorities in South America.
He said she was travelling on a Colombian passport and had not lived in New Zealand.