About half an hour later, she felt fingers grab the back of her arm, then "slowly and "attentively" grope her right side", near her bra line again.
The tape emerged during the 2016 presidential election.
Alexander has been charged with abusive sexual contact.
She told authorities she assumed the first touching was accidental. The woman said she stood up and told the passenger behind her to stop.
Prosecutors say that this happened on a Southwest Airlines flight from Houston, Texas to Albuquerque, New Mexico.
Alexander is alleged to have grabbed a woman's breast twice while he sat behind her on the flight to New Mexico.
A Florida man was accused of groping a passenger on a flight and saying it's OK to grab women because the president says it is.
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After Alexander was handcuffed and placed in an official vehicle, he invoked Donald Trump's infamous comments from the 2005 "Access Hollywood" tape, on which the future president of the United States was heard bragging to TV host Billy Bush about sexually assaulting women.
When interviewed by Federal Bureau of Investigation agents on the ground, Alexander denied groping anyone and said he had slept through most of the flight and was sober. Alexander told agents he did remember a woman he was seated behind speaking to him during the flight and then moving seats, but could not describe her. According to the complaint, she told him "she didn't know why he thought it was ok [to touch her] and he needed to stop".
Upon arrival at Albuquerque International Sunport, Alexander was detained and asked Federal Bureau of Investigation agents what the sentence was for the charge he was being arrested for. "As part of this operating philosophy, Southwest flight attendants are trained in a wide range of sensitive customer issues".
If convicted, Alexander could face up to two years in prison and a $250,000 fine, according to the U.S. Attorney's Office.
The accused will remain in custody pending a preliminary hearing, the court said.
This is the second such incident involving Albuquerque in the past week.