Smith had pulled over after his vehicle, a 2019 Lamborghini in which Cordero was a passenger, had a tire malfunction and hit the median, according to the team. "We will do everything possible to offer them our support, comfort and any resources in this most hard time".
Both Smith and Cordero exited the vehicle and were standing on the north shoulder of I-90 westbound when a 47-year-old woman driving a Mazda struck the passenger door of the Lamborghini.
She was pronounced dead at Fairview Hospital a short time later.
The driver of the second auto was also taken to the hospital, the television station reported, adding that she was treated and released.
Smith was not injured and not impaired, police said.
The couple had celebrated the birth of their daughter, Haven Harris Smith, just four weeks ago, according to Cleveland.com's Mary Kay Cabot. Preliminary information indicates that the female driver admitted to drinking.
Browns players were notified of the incident during a team meeting Wednesday morning. No charges have been filed yet and the crashes remain under investigation. The Browns play at the New York Jets on Monday night. Smith was granted a leave of absence before the Browns-Colts preseason game on August 17 to attend her birth.
Smith was selected by the Jaguars in the fifth round of the 2014 NFL Draft out of Arkansas. He has been with the Browns since a year ago.