One person also died after the damaged aeroplane was forced to make an emergency landing at Philiadelphia International Airport on Tuesday.
However, it is not clear if she was the same woman who was pulled back in.
Passengers were seen walking off the plane and on to the tarmac with firefighters attending the left engine of the Southwest Airlines plane.
Some tweeted that they were en route from New York City to Dallas when something went wrong with the plane, forcing pilots to make an emergency landing.
Tracking information from flightaware.com showed the plane making an abrupt turn towards Philadelphia after heading west over the south of New York.
The father of one of the passengers told NBC10 that a female passenger was partially sucked out of the aircraft in mid-air.
“One passenger, a woman, was partially… was drawn out towards the out of the plane… was pulled back in by other passengers,” Todd Baur said.
The person who died has been named as Jennifer Riordan, a vice president of community relations for Wells Fargo bank.
The married mother of two had been working at the bank in New Mexico since 2008 and was on a business trip when she died.
She had previously worked for Citigroup and UNM Hospitals and was well-known in her local business community.
Another passenger said in a Facebook post that a window was damaged after a problem with the aircraft’s left engine.
Marty Martinez also posted photos of a damaged window and the oxygen masks which had come down during the flight.
In a statement posted to Twitter, Southwest Airlines said there were 143 passengers on board, along with five crew members.
“We are in the process of gathering more information. Safety is always our top priority at Southwest Airlines, and we are working diligently to support our customers and crews at this time,” it said.
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The plane involved was inspected on Sunday, the airline’s boss Gary Kelly told media.
Mr Kelly said the incident was the first in Southwest’s 51-year history and that he had tried to contact the victim’s family but had not yet managed to make contact.