The four were stood down on December 1 before resigning.
The woman filing the personal grievance did not want to speak to the Herald on Sunday when contacted, but her father said she was "doing fine".
"She's just keeping to herself really," said her father. "We're just not saying anything about anything because down the track, it could get used against her.
"She's just not interested in talking to anyone. She's working with her union and they are the ones that are doing all the talking."
EPMU president Strachan Crang would not comment on the personal grievance, saying the union did not disclose details of employment matters.
The incident was one of several last year that forced the airline to crack down on drinking among its 2000 cabin crew members.
The airline would not comment on the case involving the cabin crew's behaviour in Wellington, but confirmed the flight attendants resigned after breaching the company's code of conduct.
Details of the case come soon after revelations an off-duty flight attendant "straddled" All Black Israel Dagg on a flight from Los Angeles to Auckland.
And in July, crew assigned to fly stranded passengers from Hawaii to Auckland were understood to be drinking heavily, making them unfit for duty if the plane had been airworthy.