Representative Tim Murphy of Pennsylvania, a strong and frequent critic of abortion, asked a woman with whom he was having an affair to undergo an abortion, according to a report published on Tuesday by The Pittsburgh Post-Gazette.

Mr. Murphy, 65, who is married with an adult daughter, confirmed last month that he “became involved in an affair with a personal friend,” according to a statement previously provided to The Post-Gazette.

The woman involved in the extramarital affair, Shannon Edwards, told the newspaper last month that her relationship with Mr. Murphy had ended. She said she had gotten to know Mr. Murphy, a Republican, when she volunteered to work on a mental health bill, which was signed into law late last year.

In a text message sent to Mr. Murphy on Jan. 25, Ms. Edwards assailed the congressman for hypocrisy. The exchange was included among several documents obtained by The Post-Gazette.