Passengers snapped and shared photos of the damaged window, which was noticed during the flight. She later died from her injuries.
There were no reports of injuries after Flight 957, heading from Chicago to New Jersey, landed safely in Cleveland.
"It made you nervous because something like this just happened", said passenger Paul Upshaw, who was sitting two rows back, to the AAP.
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One of them, Alejandro Aguina, tweeted: 'On my way to NJ for work and #Southwest957 gets a window crack.
The passengers were put on another aircraft to Newark, it said.
A witness told website DansDeals.com that some people were crying hysterically, while the crew acted very professionally.
The Cleveland landing also came a day after the crew of Southwest Flight 1380 was honored at the White House for its handling of the emergency. "Everything ok but scary", one of her texts read.
She said there were no other mechanical problems with the plane, which was taken out of service. The traveler said he heard a loud crack after something apparently hit the window and shattered it. "My moms plane just had to divert and land in [Cleveland] cuz of another window crack". "Don't know plan yet".
The Federal Aviation Administration has begun investigating Wednesday's incident but is still determining the cause, spokeswoman Elizabeth Cory said. So far, the cause is not known.